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Finding the Fourth Proportional to 726.86, 1,089.56 and 293.70

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Solution

The fourth proportional to 726.86, 1,089.56 and 293.70 is: 440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.86 : 1,089.56 = 293.70 : x
  2. Step 2: Convert to fraction form
    726.86/1,089.56 = 293.70/x
  3. Step 3: Cross multiply
    726.86x = 1,089.56 × 293.70
  4. Step 4: Simplify right side
    726.86x = 320,003.77
  5. Step 5: Solve for x
    x = 320,003.77/726.86
  6. Step 6: Final answer
    x = 440.26

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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.