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Finding the Fourth Proportional to 658.78, 985.78 and 582.92

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Solution

The fourth proportional to 658.78, 985.78 and 582.92 is: 872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.78 : 985.78 = 582.92 : x
  2. Step 2: Convert to fraction form
    658.78/985.78 = 582.92/x
  3. Step 3: Cross multiply
    658.78x = 985.78 × 582.92
  4. Step 4: Simplify right side
    658.78x = 574,633.97
  5. Step 5: Solve for x
    x = 574,633.97/658.78
  6. Step 6: Final answer
    x = 872.27

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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.