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Finding the Fourth Proportional to 733.32, 1,097.96 and 516.78

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Solution

The fourth proportional to 733.32, 1,097.96 and 516.78 is: 773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.32 : 1,097.96 = 516.78 : x
  2. Step 2: Convert to fraction form
    733.32/1,097.96 = 516.78/x
  3. Step 3: Cross multiply
    733.32x = 1,097.96 × 516.78
  4. Step 4: Simplify right side
    733.32x = 567,401.18
  5. Step 5: Solve for x
    x = 567,401.18/733.32
  6. Step 6: Final answer
    x = 773.74

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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.