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Finding the Fourth Proportional to 726.92, 1,003.12 and 395.34

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Solution

The fourth proportional to 726.92, 1,003.12 and 395.34 is: 545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.92 : 1,003.12 = 395.34 : x
  2. Step 2: Convert to fraction form
    726.92/1,003.12 = 395.34/x
  3. Step 3: Cross multiply
    726.92x = 1,003.12 × 395.34
  4. Step 4: Simplify right side
    726.92x = 396,573.46
  5. Step 5: Solve for x
    x = 396,573.46/726.92
  6. Step 6: Final answer
    x = 545.55

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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.