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Finding the Fourth Proportional to 1,025.38, 1,414.25 and 632.26

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Solution

The fourth proportional to 1,025.38, 1,414.25 and 632.26 is: 872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.38 : 1,414.25 = 632.26 : x
  2. Step 2: Convert to fraction form
    1,025.38/1,414.25 = 632.26/x
  3. Step 3: Cross multiply
    1,025.38x = 1,414.25 × 632.26
  4. Step 4: Simplify right side
    1,025.38x = 894,173.71
  5. Step 5: Solve for x
    x = 894,173.71/1,025.38
  6. Step 6: Final answer
    x = 872.04

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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.