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Finding the Fourth Proportional to 1,151.82, 1,589.52 and 627.90

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Solution

The fourth proportional to 1,151.82, 1,589.52 and 627.90 is: 866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.82 : 1,589.52 = 627.90 : x
  2. Step 2: Convert to fraction form
    1,151.82/1,589.52 = 627.90/x
  3. Step 3: Cross multiply
    1,151.82x = 1,589.52 × 627.90
  4. Step 4: Simplify right side
    1,151.82x = 998,059.61
  5. Step 5: Solve for x
    x = 998,059.61/1,151.82
  6. Step 6: Final answer
    x = 866.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.