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Finding the Fourth Proportional to 680.67, 1,020.24 and 269.49

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Solution

The fourth proportional to 680.67, 1,020.24 and 269.49 is: 403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.67 : 1,020.24 = 269.49 : x
  2. Step 2: Convert to fraction form
    680.67/1,020.24 = 269.49/x
  3. Step 3: Cross multiply
    680.67x = 1,020.24 × 269.49
  4. Step 4: Simplify right side
    680.67x = 274,943.13
  5. Step 5: Solve for x
    x = 274,943.13/680.67
  6. Step 6: Final answer
    x = 403.93

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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.