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Finding the Fourth Proportional to 731.61, 1,097.38 and 406.77

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Solution

The fourth proportional to 731.61, 1,097.38 and 406.77 is: 610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.61 : 1,097.38 = 406.77 : x
  2. Step 2: Convert to fraction form
    731.61/1,097.38 = 406.77/x
  3. Step 3: Cross multiply
    731.61x = 1,097.38 × 406.77
  4. Step 4: Simplify right side
    731.61x = 446,381.26
  5. Step 5: Solve for x
    x = 446,381.26/731.61
  6. Step 6: Final answer
    x = 610.14

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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.