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Finding the Fourth Proportional to 882.23, 1,217.30 and 532.91

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Solution

The fourth proportional to 882.23, 1,217.30 and 532.91 is: 735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.23 : 1,217.30 = 532.91 : x
  2. Step 2: Convert to fraction form
    882.23/1,217.30 = 532.91/x
  3. Step 3: Cross multiply
    882.23x = 1,217.30 × 532.91
  4. Step 4: Simplify right side
    882.23x = 648,711.72
  5. Step 5: Solve for x
    x = 648,711.72/882.23
  6. Step 6: Final answer
    x = 735.31

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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.