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Finding the Fourth Proportional to 793.84, 1,190.78 and 382.90

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Solution

The fourth proportional to 793.84, 1,190.78 and 382.90 is: 574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.84 : 1,190.78 = 382.90 : x
  2. Step 2: Convert to fraction form
    793.84/1,190.78 = 382.90/x
  3. Step 3: Cross multiply
    793.84x = 1,190.78 × 382.90
  4. Step 4: Simplify right side
    793.84x = 455,949.66
  5. Step 5: Solve for x
    x = 455,949.66/793.84
  6. Step 6: Final answer
    x = 574.36

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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.