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Finding the Fourth Proportional to 821.12, 1,231.62 and 244

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Solution

The fourth proportional to 821.12, 1,231.62 and 244 is: 365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.12 : 1,231.62 = 244 : x
  2. Step 2: Convert to fraction form
    821.12/1,231.62 = 244/x
  3. Step 3: Cross multiply
    821.12x = 1,231.62 × 244
  4. Step 4: Simplify right side
    821.12x = 300,515.28
  5. Step 5: Solve for x
    x = 300,515.28/821.12
  6. Step 6: Final answer
    x = 365.98

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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.