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Finding the Fourth Proportional to 1,174.41, 1,761.89 and 627.12

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Solution

The fourth proportional to 1,174.41, 1,761.89 and 627.12 is: 940.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.41 : 1,761.89 = 627.12 : x
  2. Step 2: Convert to fraction form
    1,174.41/1,761.89 = 627.12/x
  3. Step 3: Cross multiply
    1,174.41x = 1,761.89 × 627.12
  4. Step 4: Simplify right side
    1,174.41x = 1,104,913.32
  5. Step 5: Solve for x
    x = 1,104,913.32/1,174.41
  6. Step 6: Final answer
    x = 940.82

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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.