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Finding the Fourth Proportional to 732.53, 1,098.14 and 440.12

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Solution

The fourth proportional to 732.53, 1,098.14 and 440.12 is: 659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.53 : 1,098.14 = 440.12 : x
  2. Step 2: Convert to fraction form
    732.53/1,098.14 = 440.12/x
  3. Step 3: Cross multiply
    732.53x = 1,098.14 × 440.12
  4. Step 4: Simplify right side
    732.53x = 483,305.69
  5. Step 5: Solve for x
    x = 483,305.69/732.53
  6. Step 6: Final answer
    x = 659.78

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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.