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Finding the Fourth Proportional to 1,679.70, 2,519.31 and 447

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Solution

The fourth proportional to 1,679.70, 2,519.31 and 447 is: 670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.70 : 2,519.31 = 447 : x
  2. Step 2: Convert to fraction form
    1,679.70/2,519.31 = 447/x
  3. Step 3: Cross multiply
    1,679.70x = 2,519.31 × 447
  4. Step 4: Simplify right side
    1,679.70x = 1,126,131.57
  5. Step 5: Solve for x
    x = 1,126,131.57/1,679.70
  6. Step 6: Final answer
    x = 670.44

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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.