Dan borrowed $$$$1277\mathrm{.}00$ today and is to repay the loan in two equal payments. The first payment is in four $$months$,$ and the second payment is in seven months. If interest is $4\%$ per annum on the$$ loan, what is the size of the equal$$ payments? Use today as the focal date.

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Part $1$

The size of the equal payments is $$$

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$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as$$ needed.$)$