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Finding the Fourth Proportional to 793.96, 1,190.22 and 382.84

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Solution

The fourth proportional to 793.96, 1,190.22 and 382.84 is: 573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.96 : 1,190.22 = 382.84 : x
  2. Step 2: Convert to fraction form
    793.96/1,190.22 = 382.84/x
  3. Step 3: Cross multiply
    793.96x = 1,190.22 × 382.84
  4. Step 4: Simplify right side
    793.96x = 455,663.82
  5. Step 5: Solve for x
    x = 455,663.82/793.96
  6. Step 6: Final answer
    x = 573.91

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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.