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Finding the Fourth Proportional to 1,257.54, 1,735.26 and 726.33

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Solution

The fourth proportional to 1,257.54, 1,735.26 and 726.33 is: 1,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.54 : 1,735.26 = 726.33 : x
  2. Step 2: Convert to fraction form
    1,257.54/1,735.26 = 726.33/x
  3. Step 3: Cross multiply
    1,257.54x = 1,735.26 × 726.33
  4. Step 4: Simplify right side
    1,257.54x = 1,260,371.40
  5. Step 5: Solve for x
    x = 1,260,371.40/1,257.54
  6. Step 6: Final answer
    x = 1,002.25

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