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Finding the Fourth Proportional to 1,013.08, 1,517.13 and 932.89

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Solution

The fourth proportional to 1,013.08, 1,517.13 and 932.89 is: 1,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.08 : 1,517.13 = 932.89 : x
  2. Step 2: Convert to fraction form
    1,013.08/1,517.13 = 932.89/x
  3. Step 3: Cross multiply
    1,013.08x = 1,517.13 × 932.89
  4. Step 4: Simplify right side
    1,013.08x = 1,415,315.41
  5. Step 5: Solve for x
    x = 1,415,315.41/1,013.08
  6. Step 6: Final answer
    x = 1,397.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.