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Finding the Fourth Proportional to 791.84, 1,187.80 and 214.72

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Solution

The fourth proportional to 791.84, 1,187.80 and 214.72 is: 322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.84 : 1,187.80 = 214.72 : x
  2. Step 2: Convert to fraction form
    791.84/1,187.80 = 214.72/x
  3. Step 3: Cross multiply
    791.84x = 1,187.80 × 214.72
  4. Step 4: Simplify right side
    791.84x = 255,044.42
  5. Step 5: Solve for x
    x = 255,044.42/791.84
  6. Step 6: Final answer
    x = 322.09

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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.