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Finding the Fourth Proportional to 1,008.72, 1,391.46 and 635.56

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Solution

The fourth proportional to 1,008.72, 1,391.46 and 635.56 is: 876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.72 : 1,391.46 = 635.56 : x
  2. Step 2: Convert to fraction form
    1,008.72/1,391.46 = 635.56/x
  3. Step 3: Cross multiply
    1,008.72x = 1,391.46 × 635.56
  4. Step 4: Simplify right side
    1,008.72x = 884,361.86
  5. Step 5: Solve for x
    x = 884,361.86/1,008.72
  6. Step 6: Final answer
    x = 876.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.