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Finding the Fourth Proportional to 682.45, 1,023.78 and 195.50

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Solution

The fourth proportional to 682.45, 1,023.78 and 195.50 is: 293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.45 : 1,023.78 = 195.50 : x
  2. Step 2: Convert to fraction form
    682.45/1,023.78 = 195.50/x
  3. Step 3: Cross multiply
    682.45x = 1,023.78 × 195.50
  4. Step 4: Simplify right side
    682.45x = 200,148.99
  5. Step 5: Solve for x
    x = 200,148.99/682.45
  6. Step 6: Final answer
    x = 293.28

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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.