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Finding the Fourth Proportional to 991.43, 1,480.64 and 796.73

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Solution

The fourth proportional to 991.43, 1,480.64 and 796.73 is: 1,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.43 : 1,480.64 = 796.73 : x
  2. Step 2: Convert to fraction form
    991.43/1,480.64 = 796.73/x
  3. Step 3: Cross multiply
    991.43x = 1,480.64 × 796.73
  4. Step 4: Simplify right side
    991.43x = 1,179,658.92
  5. Step 5: Solve for x
    x = 1,179,658.92/991.43
  6. Step 6: Final answer
    x = 1,189.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.