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Finding the Fourth Proportional to 726.72, 1,089.84 and 293.76

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Solution

The fourth proportional to 726.72, 1,089.84 and 293.76 is: 440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.72 : 1,089.84 = 293.76 : x
  2. Step 2: Convert to fraction form
    726.72/1,089.84 = 293.76/x
  3. Step 3: Cross multiply
    726.72x = 1,089.84 × 293.76
  4. Step 4: Simplify right side
    726.72x = 320,151.40
  5. Step 5: Solve for x
    x = 320,151.40/726.72
  6. Step 6: Final answer
    x = 440.54

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