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Finding the Fourth Proportional to 733.86, 1,091.12 and 726.54

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Solution

The fourth proportional to 733.86, 1,091.12 and 726.54 is: 1,080.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.86 : 1,091.12 = 726.54 : x
  2. Step 2: Convert to fraction form
    733.86/1,091.12 = 726.54/x
  3. Step 3: Cross multiply
    733.86x = 1,091.12 × 726.54
  4. Step 4: Simplify right side
    733.86x = 792,738.69
  5. Step 5: Solve for x
    x = 792,738.69/733.86
  6. Step 6: Final answer
    x = 1,080.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.