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Finding the Fourth Proportional to 1,257.27, 1,735.26 and 726.49

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Solution

The fourth proportional to 1,257.27, 1,735.26 and 726.49 is: 1,002.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.27 : 1,735.26 = 726.49 : x
  2. Step 2: Convert to fraction form
    1,257.27/1,735.26 = 726.49/x
  3. Step 3: Cross multiply
    1,257.27x = 1,735.26 × 726.49
  4. Step 4: Simplify right side
    1,257.27x = 1,260,645.40
  5. Step 5: Solve for x
    x = 1,260,645.40/1,257.27
  6. Step 6: Final answer
    x = 1,002.69

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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.