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Finding the Fourth Proportional to 809.73, 1,214.92 and 323.12

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Solution

The fourth proportional to 809.73, 1,214.92 and 323.12 is: 484.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.73 : 1,214.92 = 323.12 : x
  2. Step 2: Convert to fraction form
    809.73/1,214.92 = 323.12/x
  3. Step 3: Cross multiply
    809.73x = 1,214.92 × 323.12
  4. Step 4: Simplify right side
    809.73x = 392,563.33
  5. Step 5: Solve for x
    x = 392,563.33/809.73
  6. Step 6: Final answer
    x = 484.81

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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.