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Finding the Fourth Proportional to 1,175.60, 1,761.12 and 627.60

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Solution

The fourth proportional to 1,175.60, 1,761.12 and 627.60 is: 940.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.60 : 1,761.12 = 627.60 : x
  2. Step 2: Convert to fraction form
    1,175.60/1,761.12 = 627.60/x
  3. Step 3: Cross multiply
    1,175.60x = 1,761.12 × 627.60
  4. Step 4: Simplify right side
    1,175.60x = 1,105,278.91
  5. Step 5: Solve for x
    x = 1,105,278.91/1,175.60
  6. Step 6: Final answer
    x = 940.18

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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.