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Finding the Fourth Proportional to 932.52, 1,398.24 and 689.04

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Solution

The fourth proportional to 932.52, 1,398.24 and 689.04 is: 1,033.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.52 : 1,398.24 = 689.04 : x
  2. Step 2: Convert to fraction form
    932.52/1,398.24 = 689.04/x
  3. Step 3: Cross multiply
    932.52x = 1,398.24 × 689.04
  4. Step 4: Simplify right side
    932.52x = 963,443.29
  5. Step 5: Solve for x
    x = 963,443.29/932.52
  6. Step 6: Final answer
    x = 1,033.16

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Why These Related Problems?

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