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Finding the Fourth Proportional to 820.91, 1,231.32 and 204.59

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Solution

The fourth proportional to 820.91, 1,231.32 and 204.59 is: 306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.91 : 1,231.32 = 204.59 : x
  2. Step 2: Convert to fraction form
    820.91/1,231.32 = 204.59/x
  3. Step 3: Cross multiply
    820.91x = 1,231.32 × 204.59
  4. Step 4: Simplify right side
    820.91x = 251,918.84
  5. Step 5: Solve for x
    x = 251,918.84/820.91
  6. Step 6: Final answer
    x = 306.88

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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.