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Finding the Fourth Proportional to 1,212.32, 1,818.78 and 481.97

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Solution

The fourth proportional to 1,212.32, 1,818.78 and 481.97 is: 723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.32 : 1,818.78 = 481.97 : x
  2. Step 2: Convert to fraction form
    1,212.32/1,818.78 = 481.97/x
  3. Step 3: Cross multiply
    1,212.32x = 1,818.78 × 481.97
  4. Step 4: Simplify right side
    1,212.32x = 876,588.30
  5. Step 5: Solve for x
    x = 876,588.30/1,212.32
  6. Step 6: Final answer
    x = 723.07

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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.