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Finding the Fourth Proportional to 868.53, 1,198.71 and 514.41

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Solution

The fourth proportional to 868.53, 1,198.71 and 514.41 is: 709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.53 : 1,198.71 = 514.41 : x
  2. Step 2: Convert to fraction form
    868.53/1,198.71 = 514.41/x
  3. Step 3: Cross multiply
    868.53x = 1,198.71 × 514.41
  4. Step 4: Simplify right side
    868.53x = 616,628.41
  5. Step 5: Solve for x
    x = 616,628.41/868.53
  6. Step 6: Final answer
    x = 709.97

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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.