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Finding the Fourth Proportional to 682.80, 1,024.15 and 195.78

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Solution

The fourth proportional to 682.80, 1,024.15 and 195.78 is: 293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.80 : 1,024.15 = 195.78 : x
  2. Step 2: Convert to fraction form
    682.80/1,024.15 = 195.78/x
  3. Step 3: Cross multiply
    682.80x = 1,024.15 × 195.78
  4. Step 4: Simplify right side
    682.80x = 200,508.09
  5. Step 5: Solve for x
    x = 200,508.09/682.80
  6. Step 6: Final answer
    x = 293.66

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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.