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Finding the Fourth Proportional to 798.63, 1,190.96 and 791.34

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Solution

The fourth proportional to 798.63, 1,190.96 and 791.34 is: 1,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.63 : 1,190.96 = 791.34 : x
  2. Step 2: Convert to fraction form
    798.63/1,190.96 = 791.34/x
  3. Step 3: Cross multiply
    798.63x = 1,190.96 × 791.34
  4. Step 4: Simplify right side
    798.63x = 942,450.33
  5. Step 5: Solve for x
    x = 942,450.33/798.63
  6. Step 6: Final answer
    x = 1,180.08

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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.