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Finding the Fourth Proportional to 732.74, 1,098.03 and 408.02

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Solution

The fourth proportional to 732.74, 1,098.03 and 408.02 is: 611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.74 : 1,098.03 = 408.02 : x
  2. Step 2: Convert to fraction form
    732.74/1,098.03 = 408.02/x
  3. Step 3: Cross multiply
    732.74x = 1,098.03 × 408.02
  4. Step 4: Simplify right side
    732.74x = 448,018.20
  5. Step 5: Solve for x
    x = 448,018.20/732.74
  6. Step 6: Final answer
    x = 611.43

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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.