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Finding the Fourth Proportional to 682.40, 1,023.50 and 195.46

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Solution

The fourth proportional to 682.40, 1,023.50 and 195.46 is: 293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.40 : 1,023.50 = 195.46 : x
  2. Step 2: Convert to fraction form
    682.40/1,023.50 = 195.46/x
  3. Step 3: Cross multiply
    682.40x = 1,023.50 × 195.46
  4. Step 4: Simplify right side
    682.40x = 200,053.31
  5. Step 5: Solve for x
    x = 200,053.31/682.40
  6. Step 6: Final answer
    x = 293.16

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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.