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Finding the Fourth Proportional to 1,025.56, 1,414.78 and 632.44

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Solution

The fourth proportional to 1,025.56, 1,414.78 and 632.44 is: 872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.56 : 1,414.78 = 632.44 : x
  2. Step 2: Convert to fraction form
    1,025.56/1,414.78 = 632.44/x
  3. Step 3: Cross multiply
    1,025.56x = 1,414.78 × 632.44
  4. Step 4: Simplify right side
    1,025.56x = 894,763.46
  5. Step 5: Solve for x
    x = 894,763.46/1,025.56
  6. Step 6: Final answer
    x = 872.46

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Why These Related Problems?

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