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Finding the Fourth Proportional to 1,067.75, 1,601.72 and 298.25

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Solution

The fourth proportional to 1,067.75, 1,601.72 and 298.25 is: 447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.75 : 1,601.72 = 298.25 : x
  2. Step 2: Convert to fraction form
    1,067.75/1,601.72 = 298.25/x
  3. Step 3: Cross multiply
    1,067.75x = 1,601.72 × 298.25
  4. Step 4: Simplify right side
    1,067.75x = 477,712.99
  5. Step 5: Solve for x
    x = 477,712.99/1,067.75
  6. Step 6: Final answer
    x = 447.40

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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.