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Finding the Fourth Proportional to 682.75, 1,024.01 and 195.70

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Solution

The fourth proportional to 682.75, 1,024.01 and 195.70 is: 293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.75 : 1,024.01 = 195.70 : x
  2. Step 2: Convert to fraction form
    682.75/1,024.01 = 195.70/x
  3. Step 3: Cross multiply
    682.75x = 1,024.01 × 195.70
  4. Step 4: Simplify right side
    682.75x = 200,398.76
  5. Step 5: Solve for x
    x = 200,398.76/682.75
  6. Step 6: Final answer
    x = 293.52

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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.