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Finding the Fourth Proportional to 649.80, 892.19 and 632.89

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Solution

The fourth proportional to 649.80, 892.19 and 632.89 is: 868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.80 : 892.19 = 632.89 : x
  2. Step 2: Convert to fraction form
    649.80/892.19 = 632.89/x
  3. Step 3: Cross multiply
    649.80x = 892.19 × 632.89
  4. Step 4: Simplify right side
    649.80x = 564,658.13
  5. Step 5: Solve for x
    x = 564,658.13/649.80
  6. Step 6: Final answer
    x = 868.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.