Good you're aware.
If you have your right hip behind you are you left handed if it's anti clockwise?
Ideally there should be a straight line through ankles to target, knees to target, hip sockets to target... but if you can't then the weakest move comes when you 'open' the hips to the target... ie for a right handed shooter, whose right leg is at the back, this moves anti clockwise and you present more of your front to the target. This can weaken your supporting arm by throwing the rifle out from being over the top of your elbow which should be sitting on your hip.
It might not be your balance. It maybe. But sometimes it can just be your flex. Or your position (don't forget your head weighs 8lb). But often the flex isn't there to start with to allow the body to connect ideally. And the other thing is people fit their position to the gun. You want to adjust the rifle to fit your position. Which is why all the 10m guns can adjust in a myriad of ways.
To be honest positional work is pretty much impossible to fix over the net. The best way is to get an instructor or coach to look at you for a short session. It won't cost much, some clubs have them for free. And it will pay dividends.
Refinement of the standing position is an ongoing process. You change even if you don't change any kit. It's like spinning plates, you work on one aspect then something else starts to become apparent, so you work on that whilst trying to keep an eye on the other. The whole shooting process can be incredibly deep in detail because you're not trying to pull of a few good shots, you're trying to replicate a good shot again and again and again.
Have fun with it