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Finding the Fourth Proportional to 1,223.03, 1,687.49 and 825.43

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Solution

The fourth proportional to 1,223.03, 1,687.49 and 825.43 is: 1,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.03 : 1,687.49 = 825.43 : x
  2. Step 2: Convert to fraction form
    1,223.03/1,687.49 = 825.43/x
  3. Step 3: Cross multiply
    1,223.03x = 1,687.49 × 825.43
  4. Step 4: Simplify right side
    1,223.03x = 1,392,902.68
  5. Step 5: Solve for x
    x = 1,392,902.68/1,223.03
  6. Step 6: Final answer
    x = 1,138.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.