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Finding the Fourth Proportional to 1,067.74, 1,601.69 and 409.93

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Solution

The fourth proportional to 1,067.74, 1,601.69 and 409.93 is: 614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.74 : 1,601.69 = 409.93 : x
  2. Step 2: Convert to fraction form
    1,067.74/1,601.69 = 409.93/x
  3. Step 3: Cross multiply
    1,067.74x = 1,601.69 × 409.93
  4. Step 4: Simplify right side
    1,067.74x = 656,570.72
  5. Step 5: Solve for x
    x = 656,570.72/1,067.74
  6. Step 6: Final answer
    x = 614.92

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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.