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Finding the Fourth Proportional to 791.82, 1,184.09 and 573.12

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Solution

The fourth proportional to 791.82, 1,184.09 and 573.12 is: 857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.82 : 1,184.09 = 573.12 : x
  2. Step 2: Convert to fraction form
    791.82/1,184.09 = 573.12/x
  3. Step 3: Cross multiply
    791.82x = 1,184.09 × 573.12
  4. Step 4: Simplify right side
    791.82x = 678,622.80
  5. Step 5: Solve for x
    x = 678,622.80/791.82
  6. Step 6: Final answer
    x = 857.04

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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.