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Finding the Fourth Proportional to 791.81, 1,092.47 and 512.05

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Solution

The fourth proportional to 791.81, 1,092.47 and 512.05 is: 706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.81 : 1,092.47 = 512.05 : x
  2. Step 2: Convert to fraction form
    791.81/1,092.47 = 512.05/x
  3. Step 3: Cross multiply
    791.81x = 1,092.47 × 512.05
  4. Step 4: Simplify right side
    791.81x = 559,399.26
  5. Step 5: Solve for x
    x = 559,399.26/791.81
  6. Step 6: Final answer
    x = 706.49

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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.