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Finding the Fourth Proportional to 1,377.98, 2,067.06 and 404

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Solution

The fourth proportional to 1,377.98, 2,067.06 and 404 is: 606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.98 : 2,067.06 = 404 : x
  2. Step 2: Convert to fraction form
    1,377.98/2,067.06 = 404/x
  3. Step 3: Cross multiply
    1,377.98x = 2,067.06 × 404
  4. Step 4: Simplify right side
    1,377.98x = 835,092.24
  5. Step 5: Solve for x
    x = 835,092.24/1,377.98
  6. Step 6: Final answer
    x = 606.03

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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.