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Finding the Fourth Proportional to 791.20, 1,091.86 and 570.22

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Solution

The fourth proportional to 791.20, 1,091.86 and 570.22 is: 786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.20 : 1,091.86 = 570.22 : x
  2. Step 2: Convert to fraction form
    791.20/1,091.86 = 570.22/x
  3. Step 3: Cross multiply
    791.20x = 1,091.86 × 570.22
  4. Step 4: Simplify right side
    791.20x = 622,600.41
  5. Step 5: Solve for x
    x = 622,600.41/791.20
  6. Step 6: Final answer
    x = 786.91

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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.