Your common-law partner is the principal applicant. Your daughter is being sponsored as his accompanying dependant. Only principal applicants (and their accompanying spouse, if applicable) have to pay the RPRF. (See
here.) And since your daughter is being sponsored as a dependant of your partner on his forms, i.e. there's only one principal applicant, you only pay one sponsorship fee.
So, your fees should look like:
Sponsorship fee = $75
Principal applicant = $475
Dependent child (less than 22 yrs old) of principal applicant = $150
Right of Permanent Residence Fee = $490
Total = $1,190