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Finding the Fourth Proportional to 658.88, 989.12 and 498.56

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Solution

The fourth proportional to 658.88, 989.12 and 498.56 is: 748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.88 : 989.12 = 498.56 : x
  2. Step 2: Convert to fraction form
    658.88/989.12 = 498.56/x
  3. Step 3: Cross multiply
    658.88x = 989.12 × 498.56
  4. Step 4: Simplify right side
    658.88x = 493,135.67
  5. Step 5: Solve for x
    x = 493,135.67/658.88
  6. Step 6: Final answer
    x = 748.45

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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.