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Finding the Fourth Proportional to 726.63, 1,002.75 and 395.06

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Solution

The fourth proportional to 726.63, 1,002.75 and 395.06 is: 545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.63 : 1,002.75 = 395.06 : x
  2. Step 2: Convert to fraction form
    726.63/1,002.75 = 395.06/x
  3. Step 3: Cross multiply
    726.63x = 1,002.75 × 395.06
  4. Step 4: Simplify right side
    726.63x = 396,141.40
  5. Step 5: Solve for x
    x = 396,141.40/726.63
  6. Step 6: Final answer
    x = 545.18

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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.