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Finding the Fourth Proportional to 1,067.61, 1,601.42 and 298.11

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Solution

The fourth proportional to 1,067.61, 1,601.42 and 298.11 is: 447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.61 : 1,601.42 = 298.11 : x
  2. Step 2: Convert to fraction form
    1,067.61/1,601.42 = 298.11/x
  3. Step 3: Cross multiply
    1,067.61x = 1,601.42 × 298.11
  4. Step 4: Simplify right side
    1,067.61x = 477,397.83
  5. Step 5: Solve for x
    x = 477,397.83/1,067.61
  6. Step 6: Final answer
    x = 447.17

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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.