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Finding the Fourth Proportional to 1,257.46, 1,735.03 and 726.34

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Solution

The fourth proportional to 1,257.46, 1,735.03 and 726.34 is: 1,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.46 : 1,735.03 = 726.34 : x
  2. Step 2: Convert to fraction form
    1,257.46/1,735.03 = 726.34/x
  3. Step 3: Cross multiply
    1,257.46x = 1,735.03 × 726.34
  4. Step 4: Simplify right side
    1,257.46x = 1,260,224.77
  5. Step 5: Solve for x
    x = 1,260,224.77/1,257.46
  6. Step 6: Final answer
    x = 1,002.20

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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.