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Finding the Fourth Proportional to 1,706.75, 2,560.49 and 680.75

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Solution

The fourth proportional to 1,706.75, 2,560.49 and 680.75 is: 1,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.75 : 2,560.49 = 680.75 : x
  2. Step 2: Convert to fraction form
    1,706.75/2,560.49 = 680.75/x
  3. Step 3: Cross multiply
    1,706.75x = 2,560.49 × 680.75
  4. Step 4: Simplify right side
    1,706.75x = 1,743,053.57
  5. Step 5: Solve for x
    x = 1,743,053.57/1,706.75
  6. Step 6: Final answer
    x = 1,021.27

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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.