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Finding the Fourth Proportional to 733.53, 1,099.06 and 516.66

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Solution

The fourth proportional to 733.53, 1,099.06 and 516.66 is: 774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.53 : 1,099.06 = 516.66 : x
  2. Step 2: Convert to fraction form
    733.53/1,099.06 = 516.66/x
  3. Step 3: Cross multiply
    733.53x = 1,099.06 × 516.66
  4. Step 4: Simplify right side
    733.53x = 567,840.34
  5. Step 5: Solve for x
    x = 567,840.34/733.53
  6. Step 6: Final answer
    x = 774.12

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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.