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Finding the Fourth Proportional to 892.68, 1,231.58 and 822.83

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Solution

The fourth proportional to 892.68, 1,231.58 and 822.83 is: 1,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.68 : 1,231.58 = 822.83 : x
  2. Step 2: Convert to fraction form
    892.68/1,231.58 = 822.83/x
  3. Step 3: Cross multiply
    892.68x = 1,231.58 × 822.83
  4. Step 4: Simplify right side
    892.68x = 1,013,370.70
  5. Step 5: Solve for x
    x = 1,013,370.70/892.68
  6. Step 6: Final answer
    x = 1,135.20

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Why These Related Problems?

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