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Finding the Fourth Proportional to 882.36, 1,217.78 and 509.27

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Solution

The fourth proportional to 882.36, 1,217.78 and 509.27 is: 702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.36 : 1,217.78 = 509.27 : x
  2. Step 2: Convert to fraction form
    882.36/1,217.78 = 509.27/x
  3. Step 3: Cross multiply
    882.36x = 1,217.78 × 509.27
  4. Step 4: Simplify right side
    882.36x = 620,174.96
  5. Step 5: Solve for x
    x = 620,174.96/882.36
  6. Step 6: Final answer
    x = 702.86

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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.