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Finding the Fourth Proportional to 731.32, 1,098.63 and 423.92

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Solution

The fourth proportional to 731.32, 1,098.63 and 423.92 is: 636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.32 : 1,098.63 = 423.92 : x
  2. Step 2: Convert to fraction form
    731.32/1,098.63 = 423.92/x
  3. Step 3: Cross multiply
    731.32x = 1,098.63 × 423.92
  4. Step 4: Simplify right side
    731.32x = 465,733.98
  5. Step 5: Solve for x
    x = 465,733.98/731.32
  6. Step 6: Final answer
    x = 636.84

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