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Finding the Fourth Proportional to 682.11, 1,022.78 and 334.70

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Solution

The fourth proportional to 682.11, 1,022.78 and 334.70 is: 501.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.11 : 1,022.78 = 334.70 : x
  2. Step 2: Convert to fraction form
    682.11/1,022.78 = 334.70/x
  3. Step 3: Cross multiply
    682.11x = 1,022.78 × 334.70
  4. Step 4: Simplify right side
    682.11x = 342,324.47
  5. Step 5: Solve for x
    x = 342,324.47/682.11
  6. Step 6: Final answer
    x = 501.86

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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.