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Finding the Fourth Proportional to 1,099.95, 1,517.99 and 627.90

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Solution

The fourth proportional to 1,099.95, 1,517.99 and 627.90 is: 866.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.95 : 1,517.99 = 627.90 : x
  2. Step 2: Convert to fraction form
    1,099.95/1,517.99 = 627.90/x
  3. Step 3: Cross multiply
    1,099.95x = 1,517.99 × 627.90
  4. Step 4: Simplify right side
    1,099.95x = 953,142.78
  5. Step 5: Solve for x
    x = 953,142.78/1,099.95
  6. Step 6: Final answer
    x = 866.53

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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.