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Finding the Fourth Proportional to 868.61, 1,198.23 and 588.86

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Solution

The fourth proportional to 868.61, 1,198.23 and 588.86 is: 812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.61 : 1,198.23 = 588.86 : x
  2. Step 2: Convert to fraction form
    868.61/1,198.23 = 588.86/x
  3. Step 3: Cross multiply
    868.61x = 1,198.23 × 588.86
  4. Step 4: Simplify right side
    868.61x = 705,583.73
  5. Step 5: Solve for x
    x = 705,583.73/868.61
  6. Step 6: Final answer
    x = 812.32

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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.