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Finding the Fourth Proportional to 1,067.40, 1,601.10 and 794.03

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Solution

The fourth proportional to 1,067.40, 1,601.10 and 794.03 is: 1,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.40 : 1,601.10 = 794.03 : x
  2. Step 2: Convert to fraction form
    1,067.40/1,601.10 = 794.03/x
  3. Step 3: Cross multiply
    1,067.40x = 1,601.10 × 794.03
  4. Step 4: Simplify right side
    1,067.40x = 1,271,313.43
  5. Step 5: Solve for x
    x = 1,271,313.43/1,067.40
  6. Step 6: Final answer
    x = 1,191.04

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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.