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Finding the Fourth Proportional to 1,243.73, 1,865.87 and 627.19

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Solution

The fourth proportional to 1,243.73, 1,865.87 and 627.19 is: 940.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.73 : 1,865.87 = 627.19 : x
  2. Step 2: Convert to fraction form
    1,243.73/1,865.87 = 627.19/x
  3. Step 3: Cross multiply
    1,243.73x = 1,865.87 × 627.19
  4. Step 4: Simplify right side
    1,243.73x = 1,170,255.01
  5. Step 5: Solve for x
    x = 1,170,255.01/1,243.73
  6. Step 6: Final answer
    x = 940.92

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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.