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Finding the Fourth Proportional to 658.80, 986.85 and 495.99

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Solution

The fourth proportional to 658.80, 986.85 and 495.99 is: 742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.80 : 986.85 = 495.99 : x
  2. Step 2: Convert to fraction form
    658.80/986.85 = 495.99/x
  3. Step 3: Cross multiply
    658.80x = 986.85 × 495.99
  4. Step 4: Simplify right side
    658.80x = 489,467.73
  5. Step 5: Solve for x
    x = 489,467.73/658.80
  6. Step 6: Final answer
    x = 742.97

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