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Finding the Fourth Proportional to 733.61, 1,099.20 and 516.13

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Solution

The fourth proportional to 733.61, 1,099.20 and 516.13 is: 773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.61 : 1,099.20 = 516.13 : x
  2. Step 2: Convert to fraction form
    733.61/1,099.20 = 516.13/x
  3. Step 3: Cross multiply
    733.61x = 1,099.20 × 516.13
  4. Step 4: Simplify right side
    733.61x = 567,330.10
  5. Step 5: Solve for x
    x = 567,330.10/733.61
  6. Step 6: Final answer
    x = 773.34

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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.