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Finding the Fourth Proportional to 922.40, 1,383.94 and 820.44

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Solution

The fourth proportional to 922.40, 1,383.94 and 820.44 is: 1,230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.40 : 1,383.94 = 820.44 : x
  2. Step 2: Convert to fraction form
    922.40/1,383.94 = 820.44/x
  3. Step 3: Cross multiply
    922.40x = 1,383.94 × 820.44
  4. Step 4: Simplify right side
    922.40x = 1,135,439.73
  5. Step 5: Solve for x
    x = 1,135,439.73/922.40
  6. Step 6: Final answer
    x = 1,230.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.