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Finding the Fourth Proportional to 1,102.46, 1,651.39 and 517.97

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Solution

The fourth proportional to 1,102.46, 1,651.39 and 517.97 is: 775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.46 : 1,651.39 = 517.97 : x
  2. Step 2: Convert to fraction form
    1,102.46/1,651.39 = 517.97/x
  3. Step 3: Cross multiply
    1,102.46x = 1,651.39 × 517.97
  4. Step 4: Simplify right side
    1,102.46x = 855,370.48
  5. Step 5: Solve for x
    x = 855,370.48/1,102.46
  6. Step 6: Final answer
    x = 775.87

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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.