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Finding the Fourth Proportional to 868.92, 1,198.53 and 588.66

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Solution

The fourth proportional to 868.92, 1,198.53 and 588.66 is: 811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.92 : 1,198.53 = 588.66 : x
  2. Step 2: Convert to fraction form
    868.92/1,198.53 = 588.66/x
  3. Step 3: Cross multiply
    868.92x = 1,198.53 × 588.66
  4. Step 4: Simplify right side
    868.92x = 705,526.67
  5. Step 5: Solve for x
    x = 705,526.67/868.92
  6. Step 6: Final answer
    x = 811.96

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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.