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Finding the Fourth Proportional to 791.40, 1,187.11 and 425.69

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Solution

The fourth proportional to 791.40, 1,187.11 and 425.69 is: 638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.40 : 1,187.11 = 425.69 : x
  2. Step 2: Convert to fraction form
    791.40/1,187.11 = 425.69/x
  3. Step 3: Cross multiply
    791.40x = 1,187.11 × 425.69
  4. Step 4: Simplify right side
    791.40x = 505,339.90
  5. Step 5: Solve for x
    x = 505,339.90/791.40
  6. Step 6: Final answer
    x = 638.54

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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.