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Finding the Fourth Proportional to 843.40, 1,264.92 and 323.23

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Solution

The fourth proportional to 843.40, 1,264.92 and 323.23 is: 484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.40 : 1,264.92 = 323.23 : x
  2. Step 2: Convert to fraction form
    843.40/1,264.92 = 323.23/x
  3. Step 3: Cross multiply
    843.40x = 1,264.92 × 323.23
  4. Step 4: Simplify right side
    843.40x = 408,860.09
  5. Step 5: Solve for x
    x = 408,860.09/843.40
  6. Step 6: Final answer
    x = 484.78

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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.