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Finding the Fourth Proportional to 823.94, 1,237.73 and 798.02

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Solution

The fourth proportional to 823.94, 1,237.73 and 798.02 is: 1,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.94 : 1,237.73 = 798.02 : x
  2. Step 2: Convert to fraction form
    823.94/1,237.73 = 798.02/x
  3. Step 3: Cross multiply
    823.94x = 1,237.73 × 798.02
  4. Step 4: Simplify right side
    823.94x = 987,723.12
  5. Step 5: Solve for x
    x = 987,723.12/823.94
  6. Step 6: Final answer
    x = 1,198.79

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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.