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Finding the Fourth Proportional to 1,067.42, 1,601.32 and 490.26

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Solution

The fourth proportional to 1,067.42, 1,601.32 and 490.26 is: 735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.42 : 1,601.32 = 490.26 : x
  2. Step 2: Convert to fraction form
    1,067.42/1,601.32 = 490.26/x
  3. Step 3: Cross multiply
    1,067.42x = 1,601.32 × 490.26
  4. Step 4: Simplify right side
    1,067.42x = 785,063.14
  5. Step 5: Solve for x
    x = 785,063.14/1,067.42
  6. Step 6: Final answer
    x = 735.48

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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.