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Finding the Fourth Proportional to 726.39, 1,089.72 and 360.27

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Solution

The fourth proportional to 726.39, 1,089.72 and 360.27 is: 540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.39 : 1,089.72 = 360.27 : x
  2. Step 2: Convert to fraction form
    726.39/1,089.72 = 360.27/x
  3. Step 3: Cross multiply
    726.39x = 1,089.72 × 360.27
  4. Step 4: Simplify right side
    726.39x = 392,593.42
  5. Step 5: Solve for x
    x = 392,593.42/726.39
  6. Step 6: Final answer
    x = 540.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.