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Finding the Fourth Proportional to 819.72, 1,131.14 and 483.65

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Solution

The fourth proportional to 819.72, 1,131.14 and 483.65 is: 667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.72 : 1,131.14 = 483.65 : x
  2. Step 2: Convert to fraction form
    819.72/1,131.14 = 483.65/x
  3. Step 3: Cross multiply
    819.72x = 1,131.14 × 483.65
  4. Step 4: Simplify right side
    819.72x = 547,067.79
  5. Step 5: Solve for x
    x = 547,067.79/819.72
  6. Step 6: Final answer
    x = 667.38

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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.