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Finding the Fourth Proportional to 1,378.13, 2,067.21 and 404.24

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Solution

The fourth proportional to 1,378.13, 2,067.21 and 404.24 is: 606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.13 : 2,067.21 = 404.24 : x
  2. Step 2: Convert to fraction form
    1,378.13/2,067.21 = 404.24/x
  3. Step 3: Cross multiply
    1,378.13x = 2,067.21 × 404.24
  4. Step 4: Simplify right side
    1,378.13x = 835,638.63
  5. Step 5: Solve for x
    x = 835,638.63/1,378.13
  6. Step 6: Final answer
    x = 606.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.