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Finding the Fourth Proportional to 961.72, 1,440.67 and 499.80

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Solution

The fourth proportional to 961.72, 1,440.67 and 499.80 is: 748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.72 : 1,440.67 = 499.80 : x
  2. Step 2: Convert to fraction form
    961.72/1,440.67 = 499.80/x
  3. Step 3: Cross multiply
    961.72x = 1,440.67 × 499.80
  4. Step 4: Simplify right side
    961.72x = 720,046.87
  5. Step 5: Solve for x
    x = 720,046.87/961.72
  6. Step 6: Final answer
    x = 748.71

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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.