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Finding the Fourth Proportional to 823.27, 1,135.77 and 539.61

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Solution

The fourth proportional to 823.27, 1,135.77 and 539.61 is: 744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.27 : 1,135.77 = 539.61 : x
  2. Step 2: Convert to fraction form
    823.27/1,135.77 = 539.61/x
  3. Step 3: Cross multiply
    823.27x = 1,135.77 × 539.61
  4. Step 4: Simplify right side
    823.27x = 612,872.85
  5. Step 5: Solve for x
    x = 612,872.85/823.27
  6. Step 6: Final answer
    x = 744.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.