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Finding the Fourth Proportional to 1,059.62, 1,591.86 and 627.08

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Solution

The fourth proportional to 1,059.62, 1,591.86 and 627.08 is: 942.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.62 : 1,591.86 = 627.08 : x
  2. Step 2: Convert to fraction form
    1,059.62/1,591.86 = 627.08/x
  3. Step 3: Cross multiply
    1,059.62x = 1,591.86 × 627.08
  4. Step 4: Simplify right side
    1,059.62x = 998,223.57
  5. Step 5: Solve for x
    x = 998,223.57/1,059.62
  6. Step 6: Final answer
    x = 942.06

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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.