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Finding the Fourth Proportional to 1,025.25, 1,414.38 and 671.55

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Solution

The fourth proportional to 1,025.25, 1,414.38 and 671.55 is: 926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.25 : 1,414.38 = 671.55 : x
  2. Step 2: Convert to fraction form
    1,025.25/1,414.38 = 671.55/x
  3. Step 3: Cross multiply
    1,025.25x = 1,414.38 × 671.55
  4. Step 4: Simplify right side
    1,025.25x = 949,826.89
  5. Step 5: Solve for x
    x = 949,826.89/1,025.25
  6. Step 6: Final answer
    x = 926.43

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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.