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Finding the Fourth Proportional to 1,227.48, 1,839.42 and 968.13

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Solution

The fourth proportional to 1,227.48, 1,839.42 and 968.13 is: 1,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.48 : 1,839.42 = 968.13 : x
  2. Step 2: Convert to fraction form
    1,227.48/1,839.42 = 968.13/x
  3. Step 3: Cross multiply
    1,227.48x = 1,839.42 × 968.13
  4. Step 4: Simplify right side
    1,227.48x = 1,780,797.68
  5. Step 5: Solve for x
    x = 1,780,797.68/1,227.48
  6. Step 6: Final answer
    x = 1,450.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.