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Finding the Fourth Proportional to 1,397.25, 1,929.02 and 932.31

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Solution

The fourth proportional to 1,397.25, 1,929.02 and 932.31 is: 1,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.25 : 1,929.02 = 932.31 : x
  2. Step 2: Convert to fraction form
    1,397.25/1,929.02 = 932.31/x
  3. Step 3: Cross multiply
    1,397.25x = 1,929.02 × 932.31
  4. Step 4: Simplify right side
    1,397.25x = 1,798,439.97
  5. Step 5: Solve for x
    x = 1,798,439.97/1,397.25
  6. Step 6: Final answer
    x = 1,287.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.