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Finding the Fourth Proportional to 882.38, 1,320.97 and 652.30

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Solution

The fourth proportional to 882.38, 1,320.97 and 652.30 is: 976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.38 : 1,320.97 = 652.30 : x
  2. Step 2: Convert to fraction form
    882.38/1,320.97 = 652.30/x
  3. Step 3: Cross multiply
    882.38x = 1,320.97 × 652.30
  4. Step 4: Simplify right side
    882.38x = 861,668.73
  5. Step 5: Solve for x
    x = 861,668.73/882.38
  6. Step 6: Final answer
    x = 976.53

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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.