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Finding the Fourth Proportional to 682.31, 1,022.75 and 316.80

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Solution

The fourth proportional to 682.31, 1,022.75 and 316.80 is: 474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.31 : 1,022.75 = 316.80 : x
  2. Step 2: Convert to fraction form
    682.31/1,022.75 = 316.80/x
  3. Step 3: Cross multiply
    682.31x = 1,022.75 × 316.80
  4. Step 4: Simplify right side
    682.31x = 324,007.99
  5. Step 5: Solve for x
    x = 324,007.99/682.31
  6. Step 6: Final answer
    x = 474.87

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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.