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Finding the Fourth Proportional to 882.24, 1,217.31 and 509.13

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Solution

The fourth proportional to 882.24, 1,217.31 and 509.13 is: 702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.24 : 1,217.31 = 509.13 : x
  2. Step 2: Convert to fraction form
    882.24/1,217.31 = 509.13/x
  3. Step 3: Cross multiply
    882.24x = 1,217.31 × 509.13
  4. Step 4: Simplify right side
    882.24x = 619,769.04
  5. Step 5: Solve for x
    x = 619,769.04/882.24
  6. Step 6: Final answer
    x = 702.49

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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.