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Finding the Fourth Proportional to 868.38, 1,198.71 and 519

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Solution

The fourth proportional to 868.38, 1,198.71 and 519 is: 716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.38 : 1,198.71 = 519 : x
  2. Step 2: Convert to fraction form
    868.38/1,198.71 = 519/x
  3. Step 3: Cross multiply
    868.38x = 1,198.71 × 519
  4. Step 4: Simplify right side
    868.38x = 622,130.49
  5. Step 5: Solve for x
    x = 622,130.49/868.38
  6. Step 6: Final answer
    x = 716.43

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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.