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Finding the Fourth Proportional to 732.74, 1,099.29 and 516.74

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Solution

The fourth proportional to 732.74, 1,099.29 and 516.74 is: 775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.74 : 1,099.29 = 516.74 : x
  2. Step 2: Convert to fraction form
    732.74/1,099.29 = 516.74/x
  3. Step 3: Cross multiply
    732.74x = 1,099.29 × 516.74
  4. Step 4: Simplify right side
    732.74x = 568,047.11
  5. Step 5: Solve for x
    x = 568,047.11/732.74
  6. Step 6: Final answer
    x = 775.24

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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.