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Finding the Fourth Proportional to 726.09, 1,089.13 and 292.94

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Solution

The fourth proportional to 726.09, 1,089.13 and 292.94 is: 439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.09 : 1,089.13 = 292.94 : x
  2. Step 2: Convert to fraction form
    726.09/1,089.13 = 292.94/x
  3. Step 3: Cross multiply
    726.09x = 1,089.13 × 292.94
  4. Step 4: Simplify right side
    726.09x = 319,049.74
  5. Step 5: Solve for x
    x = 319,049.74/726.09
  6. Step 6: Final answer
    x = 439.41

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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.