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Finding the Fourth Proportional to 868.59, 1,198.80 and 519.35

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Solution

The fourth proportional to 868.59, 1,198.80 and 519.35 is: 716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.59 : 1,198.80 = 519.35 : x
  2. Step 2: Convert to fraction form
    868.59/1,198.80 = 519.35/x
  3. Step 3: Cross multiply
    868.59x = 1,198.80 × 519.35
  4. Step 4: Simplify right side
    868.59x = 622,590.79
  5. Step 5: Solve for x
    x = 622,590.79/868.59
  6. Step 6: Final answer
    x = 716.78

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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.