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Finding the Fourth Proportional to 882.43, 1,324.22 and 395.48

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Solution

The fourth proportional to 882.43, 1,324.22 and 395.48 is: 593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.43 : 1,324.22 = 395.48 : x
  2. Step 2: Convert to fraction form
    882.43/1,324.22 = 395.48/x
  3. Step 3: Cross multiply
    882.43x = 1,324.22 × 395.48
  4. Step 4: Simplify right side
    882.43x = 523,703.86
  5. Step 5: Solve for x
    x = 523,703.86/882.43
  6. Step 6: Final answer
    x = 593.48

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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.