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Finding the Fourth Proportional to 680.23, 1,020.84 and 269.38

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Solution

The fourth proportional to 680.23, 1,020.84 and 269.38 is: 404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.23 : 1,020.84 = 269.38 : x
  2. Step 2: Convert to fraction form
    680.23/1,020.84 = 269.38/x
  3. Step 3: Cross multiply
    680.23x = 1,020.84 × 269.38
  4. Step 4: Simplify right side
    680.23x = 274,993.88
  5. Step 5: Solve for x
    x = 274,993.88/680.23
  6. Step 6: Final answer
    x = 404.27

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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.