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Finding the Fourth Proportional to 1,257.72, 1,735.86 and 726.63

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Solution

The fourth proportional to 1,257.72, 1,735.86 and 726.63 is: 1,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.72 : 1,735.86 = 726.63 : x
  2. Step 2: Convert to fraction form
    1,257.72/1,735.86 = 726.63/x
  3. Step 3: Cross multiply
    1,257.72x = 1,735.86 × 726.63
  4. Step 4: Simplify right side
    1,257.72x = 1,261,327.95
  5. Step 5: Solve for x
    x = 1,261,327.95/1,257.72
  6. Step 6: Final answer
    x = 1,002.87

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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.