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Finding the Fourth Proportional to 649.64, 891.98 and 632.73

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Solution

The fourth proportional to 649.64, 891.98 and 632.73 is: 868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.64 : 891.98 = 632.73 : x
  2. Step 2: Convert to fraction form
    649.64/891.98 = 632.73/x
  3. Step 3: Cross multiply
    649.64x = 891.98 × 632.73
  4. Step 4: Simplify right side
    649.64x = 564,382.51
  5. Step 5: Solve for x
    x = 564,382.51/649.64
  6. Step 6: Final answer
    x = 868.76

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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.