  Baryon decuplet masses within an $SU(3)_L \times SU(3)_R$ chiral Lagrangian
formalism are found to satisfy four relations at second order in flavor
breaking. As a result, the one-loop corrections from Lagrangian terms up to
first order in flavor breaking are observed to give finite and calculable
corrections to these relations. The formal expressions for these corrections
are presented, followed by numerical evaluations. We find consistency between
the experimental values of breaking of the relations and the loop corrections
of these relations as predicted by chiral perturbation theory.
