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Finding the Fourth Proportional to 726.85, 1,089.61 and 293.71

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Solution

The fourth proportional to 726.85, 1,089.61 and 293.71 is: 440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.85 : 1,089.61 = 293.71 : x
  2. Step 2: Convert to fraction form
    726.85/1,089.61 = 293.71/x
  3. Step 3: Cross multiply
    726.85x = 1,089.61 × 293.71
  4. Step 4: Simplify right side
    726.85x = 320,029.35
  5. Step 5: Solve for x
    x = 320,029.35/726.85
  6. Step 6: Final answer
    x = 440.30

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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.