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Finding the Fourth Proportional to 820.67, 1,231.57 and 327.03

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Solution

The fourth proportional to 820.67, 1,231.57 and 327.03 is: 490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.67 : 1,231.57 = 327.03 : x
  2. Step 2: Convert to fraction form
    820.67/1,231.57 = 327.03/x
  3. Step 3: Cross multiply
    820.67x = 1,231.57 × 327.03
  4. Step 4: Simplify right side
    820.67x = 402,761.56
  5. Step 5: Solve for x
    x = 402,761.56/820.67
  6. Step 6: Final answer
    x = 490.77

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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.