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Finding the Fourth Proportional to 868.39, 1,198.43 and 514.60

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Solution

The fourth proportional to 868.39, 1,198.43 and 514.60 is: 710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.39 : 1,198.43 = 514.60 : x
  2. Step 2: Convert to fraction form
    868.39/1,198.43 = 514.60/x
  3. Step 3: Cross multiply
    868.39x = 1,198.43 × 514.60
  4. Step 4: Simplify right side
    868.39x = 616,712.08
  5. Step 5: Solve for x
    x = 616,712.08/868.39
  6. Step 6: Final answer
    x = 710.18

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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.