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Finding the Fourth Proportional to 1,061.30, 1,591.95 and 627.14

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Solution

The fourth proportional to 1,061.30, 1,591.95 and 627.14 is: 940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.30 : 1,591.95 = 627.14 : x
  2. Step 2: Convert to fraction form
    1,061.30/1,591.95 = 627.14/x
  3. Step 3: Cross multiply
    1,061.30x = 1,591.95 × 627.14
  4. Step 4: Simplify right side
    1,061.30x = 998,381.85
  5. Step 5: Solve for x
    x = 998,381.85/1,061.30
  6. Step 6: Final answer
    x = 940.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.