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Finding the Fourth Proportional to 682.43, 1,023.84 and 317.25

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Solution

The fourth proportional to 682.43, 1,023.84 and 317.25 is: 475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.43 : 1,023.84 = 317.25 : x
  2. Step 2: Convert to fraction form
    682.43/1,023.84 = 317.25/x
  3. Step 3: Cross multiply
    682.43x = 1,023.84 × 317.25
  4. Step 4: Simplify right side
    682.43x = 324,813.24
  5. Step 5: Solve for x
    x = 324,813.24/682.43
  6. Step 6: Final answer
    x = 475.97

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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.