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Finding the Fourth Proportional to 682.18, 1,023.34 and 271.23

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Solution

The fourth proportional to 682.18, 1,023.34 and 271.23 is: 406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.18 : 1,023.34 = 271.23 : x
  2. Step 2: Convert to fraction form
    682.18/1,023.34 = 271.23/x
  3. Step 3: Cross multiply
    682.18x = 1,023.34 × 271.23
  4. Step 4: Simplify right side
    682.18x = 277,555.99
  5. Step 5: Solve for x
    x = 277,555.99/682.18
  6. Step 6: Final answer
    x = 406.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.