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Finding the Fourth Proportional to 731.97, 1,098.63 and 406.89

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Solution

The fourth proportional to 731.97, 1,098.63 and 406.89 is: 610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.97 : 1,098.63 = 406.89 : x
  2. Step 2: Convert to fraction form
    731.97/1,098.63 = 406.89/x
  3. Step 3: Cross multiply
    731.97x = 1,098.63 × 406.89
  4. Step 4: Simplify right side
    731.97x = 447,021.56
  5. Step 5: Solve for x
    x = 447,021.56/731.97
  6. Step 6: Final answer
    x = 610.71

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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.