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Finding the Fourth Proportional to 821.20, 1,231.88 and 546.46

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Solution

The fourth proportional to 821.20, 1,231.88 and 546.46 is: 819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.20 : 1,231.88 = 546.46 : x
  2. Step 2: Convert to fraction form
    821.20/1,231.88 = 546.46/x
  3. Step 3: Cross multiply
    821.20x = 1,231.88 × 546.46
  4. Step 4: Simplify right side
    821.20x = 673,164.25
  5. Step 5: Solve for x
    x = 673,164.25/821.20
  6. Step 6: Final answer
    x = 819.73

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