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Finding the Fourth Proportional to 680.71, 1,021.07 and 269.94

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Solution

The fourth proportional to 680.71, 1,021.07 and 269.94 is: 404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.71 : 1,021.07 = 269.94 : x
  2. Step 2: Convert to fraction form
    680.71/1,021.07 = 269.94/x
  3. Step 3: Cross multiply
    680.71x = 1,021.07 × 269.94
  4. Step 4: Simplify right side
    680.71x = 275,627.64
  5. Step 5: Solve for x
    x = 275,627.64/680.71
  6. Step 6: Final answer
    x = 404.91

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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.