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Finding the Fourth Proportional to 727.86, 1,091.99 and 545.61

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Solution

The fourth proportional to 727.86, 1,091.99 and 545.61 is: 818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.86 : 1,091.99 = 545.61 : x
  2. Step 2: Convert to fraction form
    727.86/1,091.99 = 545.61/x
  3. Step 3: Cross multiply
    727.86x = 1,091.99 × 545.61
  4. Step 4: Simplify right side
    727.86x = 595,800.66
  5. Step 5: Solve for x
    x = 595,800.66/727.86
  6. Step 6: Final answer
    x = 818.56

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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.