Hi web, and welcome to the forum!

There are several scoring models that different CRA's use to generate a credit score. The scores that you got from fcr.com are what we call FAKO scores. They serve no useful purpose other than pleasing eye candy. It's very misleading imo.
The scores you get from MyFiCO is the scoring model(or a variation of it) used by 90% of lenders(banks, ccc's, mortgage lenders,etc). So it really more closely matches what your lender would use to base their lending decisions on if you apply for an extension of credit.
Hope that answers your question.