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Finding the Fourth Proportional to 882.22, 1,323.13 and 265.97

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Solution

The fourth proportional to 882.22, 1,323.13 and 265.97 is: 398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.22 : 1,323.13 = 265.97 : x
  2. Step 2: Convert to fraction form
    882.22/1,323.13 = 265.97/x
  3. Step 3: Cross multiply
    882.22x = 1,323.13 × 265.97
  4. Step 4: Simplify right side
    882.22x = 351,906.27
  5. Step 5: Solve for x
    x = 351,906.27/882.22
  6. Step 6: Final answer
    x = 398.89

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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.