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Finding the Fourth Proportional to 791.99, 1,187.99 and 214.87

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Solution

The fourth proportional to 791.99, 1,187.99 and 214.87 is: 322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.99 : 1,187.99 = 214.87 : x
  2. Step 2: Convert to fraction form
    791.99/1,187.99 = 214.87/x
  3. Step 3: Cross multiply
    791.99x = 1,187.99 × 214.87
  4. Step 4: Simplify right side
    791.99x = 255,258.42
  5. Step 5: Solve for x
    x = 255,258.42/791.99
  6. Step 6: Final answer
    x = 322.30

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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.