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Finding the Fourth Proportional to 1,257.24, 1,734.93 and 726.09

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Solution

The fourth proportional to 1,257.24, 1,734.93 and 726.09 is: 1,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.24 : 1,734.93 = 726.09 : x
  2. Step 2: Convert to fraction form
    1,257.24/1,734.93 = 726.09/x
  3. Step 3: Cross multiply
    1,257.24x = 1,734.93 × 726.09
  4. Step 4: Simplify right side
    1,257.24x = 1,259,715.32
  5. Step 5: Solve for x
    x = 1,259,715.32/1,257.24
  6. Step 6: Final answer
    x = 1,001.97

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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.