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Finding the Fourth Proportional to 682.50, 1,023.64 and 195.44

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Solution

The fourth proportional to 682.50, 1,023.64 and 195.44 is: 293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.50 : 1,023.64 = 195.44 : x
  2. Step 2: Convert to fraction form
    682.50/1,023.64 = 195.44/x
  3. Step 3: Cross multiply
    682.50x = 1,023.64 × 195.44
  4. Step 4: Simplify right side
    682.50x = 200,060.20
  5. Step 5: Solve for x
    x = 200,060.20/682.50
  6. Step 6: Final answer
    x = 293.13

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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.