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Finding the Fourth Proportional to 821.10, 1,231.92 and 382.56

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Solution

The fourth proportional to 821.10, 1,231.92 and 382.56 is: 573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.10 : 1,231.92 = 382.56 : x
  2. Step 2: Convert to fraction form
    821.10/1,231.92 = 382.56/x
  3. Step 3: Cross multiply
    821.10x = 1,231.92 × 382.56
  4. Step 4: Simplify right side
    821.10x = 471,283.32
  5. Step 5: Solve for x
    x = 471,283.32/821.10
  6. Step 6: Final answer
    x = 573.97

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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.