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Finding the Fourth Proportional to 1,244.97, 1,717.20 and 1,134

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Solution

The fourth proportional to 1,244.97, 1,717.20 and 1,134 is: 1,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.97 : 1,717.20 = 1,134 : x
  2. Step 2: Convert to fraction form
    1,244.97/1,717.20 = 1,134/x
  3. Step 3: Cross multiply
    1,244.97x = 1,717.20 × 1,134
  4. Step 4: Simplify right side
    1,244.97x = 1,947,304.80
  5. Step 5: Solve for x
    x = 1,947,304.80/1,244.97
  6. Step 6: Final answer
    x = 1,564.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.