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Finding the Fourth Proportional to 732.75, 1,099.01 and 515.67

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Solution

The fourth proportional to 732.75, 1,099.01 and 515.67 is: 773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.75 : 1,099.01 = 515.67 : x
  2. Step 2: Convert to fraction form
    732.75/1,099.01 = 515.67/x
  3. Step 3: Cross multiply
    732.75x = 1,099.01 × 515.67
  4. Step 4: Simplify right side
    732.75x = 566,723.91
  5. Step 5: Solve for x
    x = 566,723.91/732.75
  6. Step 6: Final answer
    x = 773.42

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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.