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Finding the Fourth Proportional to 681, 1,022.58 and 658.86

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Solution

The fourth proportional to 681, 1,022.58 and 658.86 is: 989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    681 : 1,022.58 = 658.86 : x
  2. Step 2: Convert to fraction form
    681/1,022.58 = 658.86/x
  3. Step 3: Cross multiply
    681x = 1,022.58 × 658.86
  4. Step 4: Simplify right side
    681x = 673,737.06
  5. Step 5: Solve for x
    x = 673,737.06/681
  6. Step 6: Final answer
    x = 989.33

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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.