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Finding the Fourth Proportional to 731.88, 1,098.12 and 402.54

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Solution

The fourth proportional to 731.88, 1,098.12 and 402.54 is: 603.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.88 : 1,098.12 = 402.54 : x
  2. Step 2: Convert to fraction form
    731.88/1,098.12 = 402.54/x
  3. Step 3: Cross multiply
    731.88x = 1,098.12 × 402.54
  4. Step 4: Simplify right side
    731.88x = 442,037.22
  5. Step 5: Solve for x
    x = 442,037.22/731.88
  6. Step 6: Final answer
    x = 603.98

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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.