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Finding the Fourth Proportional to 815.97, 1,223.04 and 450.26

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Solution

The fourth proportional to 815.97, 1,223.04 and 450.26 is: 674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.97 : 1,223.04 = 450.26 : x
  2. Step 2: Convert to fraction form
    815.97/1,223.04 = 450.26/x
  3. Step 3: Cross multiply
    815.97x = 1,223.04 × 450.26
  4. Step 4: Simplify right side
    815.97x = 550,679.88
  5. Step 5: Solve for x
    x = 550,679.88/815.97
  6. Step 6: Final answer
    x = 674.88

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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.