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Finding the Fourth Proportional to 821.17, 1,231.97 and 244.03

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Solution

The fourth proportional to 821.17, 1,231.97 and 244.03 is: 366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.17 : 1,231.97 = 244.03 : x
  2. Step 2: Convert to fraction form
    821.17/1,231.97 = 244.03/x
  3. Step 3: Cross multiply
    821.17x = 1,231.97 × 244.03
  4. Step 4: Simplify right side
    821.17x = 300,637.64
  5. Step 5: Solve for x
    x = 300,637.64/821.17
  6. Step 6: Final answer
    x = 366.11

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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.