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Finding the Fourth Proportional to 682.76, 1,024.23 and 195.82

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Solution

The fourth proportional to 682.76, 1,024.23 and 195.82 is: 293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.76 : 1,024.23 = 195.82 : x
  2. Step 2: Convert to fraction form
    682.76/1,024.23 = 195.82/x
  3. Step 3: Cross multiply
    682.76x = 1,024.23 × 195.82
  4. Step 4: Simplify right side
    682.76x = 200,562.89
  5. Step 5: Solve for x
    x = 200,562.89/682.76
  6. Step 6: Final answer
    x = 293.75

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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.