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Finding the Fourth Proportional to 992.09, 1,487.83 and 796.63

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Solution

The fourth proportional to 992.09, 1,487.83 and 796.63 is: 1,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.09 : 1,487.83 = 796.63 : x
  2. Step 2: Convert to fraction form
    992.09/1,487.83 = 796.63/x
  3. Step 3: Cross multiply
    992.09x = 1,487.83 × 796.63
  4. Step 4: Simplify right side
    992.09x = 1,185,250.01
  5. Step 5: Solve for x
    x = 1,185,250.01/992.09
  6. Step 6: Final answer
    x = 1,194.70

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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.