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Finding the Fourth Proportional to 891.96, 1,236.61 and 842.82

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Solution

The fourth proportional to 891.96, 1,236.61 and 842.82 is: 1,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.96 : 1,236.61 = 842.82 : x
  2. Step 2: Convert to fraction form
    891.96/1,236.61 = 842.82/x
  3. Step 3: Cross multiply
    891.96x = 1,236.61 × 842.82
  4. Step 4: Simplify right side
    891.96x = 1,042,239.64
  5. Step 5: Solve for x
    x = 1,042,239.64/891.96
  6. Step 6: Final answer
    x = 1,168.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.