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Finding the Fourth Proportional to 658.62, 986.13 and 450.74

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Solution

The fourth proportional to 658.62, 986.13 and 450.74 is: 674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.62 : 986.13 = 450.74 : x
  2. Step 2: Convert to fraction form
    658.62/986.13 = 450.74/x
  3. Step 3: Cross multiply
    658.62x = 986.13 × 450.74
  4. Step 4: Simplify right side
    658.62x = 444,490.70
  5. Step 5: Solve for x
    x = 444,490.70/658.62
  6. Step 6: Final answer
    x = 674.88

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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.