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Finding the Fourth Proportional to 727.68, 1,091.10 and 496.92

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Solution

The fourth proportional to 727.68, 1,091.10 and 496.92 is: 745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.68 : 1,091.10 = 496.92 : x
  2. Step 2: Convert to fraction form
    727.68/1,091.10 = 496.92/x
  3. Step 3: Cross multiply
    727.68x = 1,091.10 × 496.92
  4. Step 4: Simplify right side
    727.68x = 542,189.41
  5. Step 5: Solve for x
    x = 542,189.41/727.68
  6. Step 6: Final answer
    x = 745.09

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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.