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Finding the Fourth Proportional to 791.47, 1,089.55 and 680.30

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Solution

The fourth proportional to 791.47, 1,089.55 and 680.30 is: 936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.47 : 1,089.55 = 680.30 : x
  2. Step 2: Convert to fraction form
    791.47/1,089.55 = 680.30/x
  3. Step 3: Cross multiply
    791.47x = 1,089.55 × 680.30
  4. Step 4: Simplify right side
    791.47x = 741,220.35
  5. Step 5: Solve for x
    x = 741,220.35/791.47
  6. Step 6: Final answer
    x = 936.51

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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.