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Finding the Fourth Proportional to 1,204.57, 1,662.32 and 680.61

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Solution

The fourth proportional to 1,204.57, 1,662.32 and 680.61 is: 939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.57 : 1,662.32 = 680.61 : x
  2. Step 2: Convert to fraction form
    1,204.57/1,662.32 = 680.61/x
  3. Step 3: Cross multiply
    1,204.57x = 1,662.32 × 680.61
  4. Step 4: Simplify right side
    1,204.57x = 1,131,391.62
  5. Step 5: Solve for x
    x = 1,131,391.62/1,204.57
  6. Step 6: Final answer
    x = 939.25

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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.