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Finding the Fourth Proportional to 791.08, 1,091.74 and 441.77

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Solution

The fourth proportional to 791.08, 1,091.74 and 441.77 is: 609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.08 : 1,091.74 = 441.77 : x
  2. Step 2: Convert to fraction form
    791.08/1,091.74 = 441.77/x
  3. Step 3: Cross multiply
    791.08x = 1,091.74 × 441.77
  4. Step 4: Simplify right side
    791.08x = 482,297.98
  5. Step 5: Solve for x
    x = 482,297.98/791.08
  6. Step 6: Final answer
    x = 609.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.