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Finding the Fourth Proportional to 1,067.84, 1,601.84 and 374.54

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Solution

The fourth proportional to 1,067.84, 1,601.84 and 374.54 is: 561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.84 : 1,601.84 = 374.54 : x
  2. Step 2: Convert to fraction form
    1,067.84/1,601.84 = 374.54/x
  3. Step 3: Cross multiply
    1,067.84x = 1,601.84 × 374.54
  4. Step 4: Simplify right side
    1,067.84x = 599,943.27
  5. Step 5: Solve for x
    x = 599,943.27/1,067.84
  6. Step 6: Final answer
    x = 561.83

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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.