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Finding the Fourth Proportional to 1,204.27, 1,662.38 and 812.46

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Solution

The fourth proportional to 1,204.27, 1,662.38 and 812.46 is: 1,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.27 : 1,662.38 = 812.46 : x
  2. Step 2: Convert to fraction form
    1,204.27/1,662.38 = 812.46/x
  3. Step 3: Cross multiply
    1,204.27x = 1,662.38 × 812.46
  4. Step 4: Simplify right side
    1,204.27x = 1,350,617.25
  5. Step 5: Solve for x
    x = 1,350,617.25/1,204.27
  6. Step 6: Final answer
    x = 1,121.52

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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.