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Finding the Fourth Proportional to 680.26, 1,020.03 and 338.26

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Solution

The fourth proportional to 680.26, 1,020.03 and 338.26 is: 507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.26 : 1,020.03 = 338.26 : x
  2. Step 2: Convert to fraction form
    680.26/1,020.03 = 338.26/x
  3. Step 3: Cross multiply
    680.26x = 1,020.03 × 338.26
  4. Step 4: Simplify right side
    680.26x = 345,035.35
  5. Step 5: Solve for x
    x = 345,035.35/680.26
  6. Step 6: Final answer
    x = 507.21

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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.