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Finding the Fourth Proportional to 868.57, 1,198.65 and 519.46

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Solution

The fourth proportional to 868.57, 1,198.65 and 519.46 is: 716.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.57 : 1,198.65 = 519.46 : x
  2. Step 2: Convert to fraction form
    868.57/1,198.65 = 519.46/x
  3. Step 3: Cross multiply
    868.57x = 1,198.65 × 519.46
  4. Step 4: Simplify right side
    868.57x = 622,650.73
  5. Step 5: Solve for x
    x = 622,650.73/868.57
  6. Step 6: Final answer
    x = 716.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.