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Finding the Fourth Proportional to 844.04, 1,265.78 and 323.78

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Solution

The fourth proportional to 844.04, 1,265.78 and 323.78 is: 485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.04 : 1,265.78 = 323.78 : x
  2. Step 2: Convert to fraction form
    844.04/1,265.78 = 323.78/x
  3. Step 3: Cross multiply
    844.04x = 1,265.78 × 323.78
  4. Step 4: Simplify right side
    844.04x = 409,834.25
  5. Step 5: Solve for x
    x = 409,834.25/844.04
  6. Step 6: Final answer
    x = 485.56

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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.