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Finding the Fourth Proportional to 1,100.01, 1,517.64 and 627.57

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Solution

The fourth proportional to 1,100.01, 1,517.64 and 627.57 is: 865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.01 : 1,517.64 = 627.57 : x
  2. Step 2: Convert to fraction form
    1,100.01/1,517.64 = 627.57/x
  3. Step 3: Cross multiply
    1,100.01x = 1,517.64 × 627.57
  4. Step 4: Simplify right side
    1,100.01x = 952,414.61
  5. Step 5: Solve for x
    x = 952,414.61/1,100.01
  6. Step 6: Final answer
    x = 865.82

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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.