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Finding the Fourth Proportional to 1,212.92, 1,673.52 and 747.44

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Solution

The fourth proportional to 1,212.92, 1,673.52 and 747.44 is: 1,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.92 : 1,673.52 = 747.44 : x
  2. Step 2: Convert to fraction form
    1,212.92/1,673.52 = 747.44/x
  3. Step 3: Cross multiply
    1,212.92x = 1,673.52 × 747.44
  4. Step 4: Simplify right side
    1,212.92x = 1,250,855.79
  5. Step 5: Solve for x
    x = 1,250,855.79/1,212.92
  6. Step 6: Final answer
    x = 1,031.28

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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.