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Finding the Fourth Proportional to 882.23, 1,217.63 and 509.29

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Solution

The fourth proportional to 882.23, 1,217.63 and 509.29 is: 702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.23 : 1,217.63 = 509.29 : x
  2. Step 2: Convert to fraction form
    882.23/1,217.63 = 509.29/x
  3. Step 3: Cross multiply
    882.23x = 1,217.63 × 509.29
  4. Step 4: Simplify right side
    882.23x = 620,125.01
  5. Step 5: Solve for x
    x = 620,125.01/882.23
  6. Step 6: Final answer
    x = 702.91

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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.