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Finding the Fourth Proportional to 882.19, 1,217.37 and 509.23

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Solution

The fourth proportional to 882.19, 1,217.37 and 509.23 is: 702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.19 : 1,217.37 = 509.23 : x
  2. Step 2: Convert to fraction form
    882.19/1,217.37 = 509.23/x
  3. Step 3: Cross multiply
    882.19x = 1,217.37 × 509.23
  4. Step 4: Simplify right side
    882.19x = 619,921.33
  5. Step 5: Solve for x
    x = 619,921.33/882.19
  6. Step 6: Final answer
    x = 702.71

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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.