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Finding the Fourth Proportional to 1,025.24, 1,414.90 and 632.28

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Solution

The fourth proportional to 1,025.24, 1,414.90 and 632.28 is: 872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.24 : 1,414.90 = 632.28 : x
  2. Step 2: Convert to fraction form
    1,025.24/1,414.90 = 632.28/x
  3. Step 3: Cross multiply
    1,025.24x = 1,414.90 × 632.28
  4. Step 4: Simplify right side
    1,025.24x = 894,612.97
  5. Step 5: Solve for x
    x = 894,612.97/1,025.24
  6. Step 6: Final answer
    x = 872.59

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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.