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Finding the Fourth Proportional to 791.99, 1,187.99 and 519.81

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Solution

The fourth proportional to 791.99, 1,187.99 and 519.81 is: 779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.99 : 1,187.99 = 519.81 : x
  2. Step 2: Convert to fraction form
    791.99/1,187.99 = 519.81/x
  3. Step 3: Cross multiply
    791.99x = 1,187.99 × 519.81
  4. Step 4: Simplify right side
    791.99x = 617,529.08
  5. Step 5: Solve for x
    x = 617,529.08/791.99
  6. Step 6: Final answer
    x = 779.72

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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.