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Finding the Fourth Proportional to 868.14, 1,198.53 and 588.78

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Solution

The fourth proportional to 868.14, 1,198.53 and 588.78 is: 812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.14 : 1,198.53 = 588.78 : x
  2. Step 2: Convert to fraction form
    868.14/1,198.53 = 588.78/x
  3. Step 3: Cross multiply
    868.14x = 1,198.53 × 588.78
  4. Step 4: Simplify right side
    868.14x = 705,670.49
  5. Step 5: Solve for x
    x = 705,670.49/868.14
  6. Step 6: Final answer
    x = 812.85

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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.