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Finding the Fourth Proportional to 658.23, 987.74 and 591

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Solution

The fourth proportional to 658.23, 987.74 and 591 is: 886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.23 : 987.74 = 591 : x
  2. Step 2: Convert to fraction form
    658.23/987.74 = 591/x
  3. Step 3: Cross multiply
    658.23x = 987.74 × 591
  4. Step 4: Simplify right side
    658.23x = 583,751.39
  5. Step 5: Solve for x
    x = 583,751.39/658.23
  6. Step 6: Final answer
    x = 886.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.