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Finding the Fourth Proportional to 658.62, 986.67 and 591.03

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Solution

The fourth proportional to 658.62, 986.67 and 591.03 is: 885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.62 : 986.67 = 591.03 : x
  2. Step 2: Convert to fraction form
    658.62/986.67 = 591.03/x
  3. Step 3: Cross multiply
    658.62x = 986.67 × 591.03
  4. Step 4: Simplify right side
    658.62x = 583,151.57
  5. Step 5: Solve for x
    x = 583,151.57/658.62
  6. Step 6: Final answer
    x = 885.41

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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.