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Finding the Fourth Proportional to 680.86, 1,021.07 and 269.87

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Solution

The fourth proportional to 680.86, 1,021.07 and 269.87 is: 404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.86 : 1,021.07 = 269.87 : x
  2. Step 2: Convert to fraction form
    680.86/1,021.07 = 269.87/x
  3. Step 3: Cross multiply
    680.86x = 1,021.07 × 269.87
  4. Step 4: Simplify right side
    680.86x = 275,554.81
  5. Step 5: Solve for x
    x = 275,554.81/680.86
  6. Step 6: Final answer
    x = 404.72

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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.