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Finding the Fourth Proportional to 682.19, 1,023.29 and 316.78

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Solution

The fourth proportional to 682.19, 1,023.29 and 316.78 is: 475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.19 : 1,023.29 = 316.78 : x
  2. Step 2: Convert to fraction form
    682.19/1,023.29 = 316.78/x
  3. Step 3: Cross multiply
    682.19x = 1,023.29 × 316.78
  4. Step 4: Simplify right side
    682.19x = 324,158.69
  5. Step 5: Solve for x
    x = 324,158.69/682.19
  6. Step 6: Final answer
    x = 475.17

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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.