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Finding the Fourth Proportional to 726.07, 1,089.20 and 293.19

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Solution

The fourth proportional to 726.07, 1,089.20 and 293.19 is: 439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.07 : 1,089.20 = 293.19 : x
  2. Step 2: Convert to fraction form
    726.07/1,089.20 = 293.19/x
  3. Step 3: Cross multiply
    726.07x = 1,089.20 × 293.19
  4. Step 4: Simplify right side
    726.07x = 319,342.55
  5. Step 5: Solve for x
    x = 319,342.55/726.07
  6. Step 6: Final answer
    x = 439.82

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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.