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Finding the Fourth Proportional to 820.74, 1,231.29 and 243.66

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Solution

The fourth proportional to 820.74, 1,231.29 and 243.66 is: 365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.74 : 1,231.29 = 243.66 : x
  2. Step 2: Convert to fraction form
    820.74/1,231.29 = 243.66/x
  3. Step 3: Cross multiply
    820.74x = 1,231.29 × 243.66
  4. Step 4: Simplify right side
    820.74x = 300,016.12
  5. Step 5: Solve for x
    x = 300,016.12/820.74
  6. Step 6: Final answer
    x = 365.54

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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.