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Finding the Fourth Proportional to 996.73, 1,492.25 and 791.59

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Solution

The fourth proportional to 996.73, 1,492.25 and 791.59 is: 1,185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.73 : 1,492.25 = 791.59 : x
  2. Step 2: Convert to fraction form
    996.73/1,492.25 = 791.59/x
  3. Step 3: Cross multiply
    996.73x = 1,492.25 × 791.59
  4. Step 4: Simplify right side
    996.73x = 1,181,250.18
  5. Step 5: Solve for x
    x = 1,181,250.18/996.73
  6. Step 6: Final answer
    x = 1,185.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.