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Finding the Fourth Proportional to 1,099.71, 1,517.54 and 627.62

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Solution

The fourth proportional to 1,099.71, 1,517.54 and 627.62 is: 866.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.71 : 1,517.54 = 627.62 : x
  2. Step 2: Convert to fraction form
    1,099.71/1,517.54 = 627.62/x
  3. Step 3: Cross multiply
    1,099.71x = 1,517.54 × 627.62
  4. Step 4: Simplify right side
    1,099.71x = 952,427.73
  5. Step 5: Solve for x
    x = 952,427.73/1,099.71
  6. Step 6: Final answer
    x = 866.07

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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.