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Finding the Fourth Proportional to 1,679.20, 2,519.20 and 704.80

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Solution

The fourth proportional to 1,679.20, 2,519.20 and 704.80 is: 1,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.20 : 2,519.20 = 704.80 : x
  2. Step 2: Convert to fraction form
    1,679.20/2,519.20 = 704.80/x
  3. Step 3: Cross multiply
    1,679.20x = 2,519.20 × 704.80
  4. Step 4: Simplify right side
    1,679.20x = 1,775,532.16
  5. Step 5: Solve for x
    x = 1,775,532.16/1,679.20
  6. Step 6: Final answer
    x = 1,057.37

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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.