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Finding the Fourth Proportional to 682.22, 1,023.37 and 195.26

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Solution

The fourth proportional to 682.22, 1,023.37 and 195.26 is: 292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.22 : 1,023.37 = 195.26 : x
  2. Step 2: Convert to fraction form
    682.22/1,023.37 = 195.26/x
  3. Step 3: Cross multiply
    682.22x = 1,023.37 × 195.26
  4. Step 4: Simplify right side
    682.22x = 199,817.62
  5. Step 5: Solve for x
    x = 199,817.62/682.22
  6. Step 6: Final answer
    x = 292.89

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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.