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Finding the Fourth Proportional to 791.26, 1,090.11 and 569.82

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Solution

The fourth proportional to 791.26, 1,090.11 and 569.82 is: 785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.26 : 1,090.11 = 569.82 : x
  2. Step 2: Convert to fraction form
    791.26/1,090.11 = 569.82/x
  3. Step 3: Cross multiply
    791.26x = 1,090.11 × 569.82
  4. Step 4: Simplify right side
    791.26x = 621,166.48
  5. Step 5: Solve for x
    x = 621,166.48/791.26
  6. Step 6: Final answer
    x = 785.03

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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.