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Finding the Fourth Proportional to 842.11, 1,161.76 and 576.12

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Solution

The fourth proportional to 842.11, 1,161.76 and 576.12 is: 794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.11 : 1,161.76 = 576.12 : x
  2. Step 2: Convert to fraction form
    842.11/1,161.76 = 576.12/x
  3. Step 3: Cross multiply
    842.11x = 1,161.76 × 576.12
  4. Step 4: Simplify right side
    842.11x = 669,310.29
  5. Step 5: Solve for x
    x = 669,310.29/842.11
  6. Step 6: Final answer
    x = 794.81

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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.