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Finding the Fourth Proportional to 793.04, 1,190.09 and 280.04

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Solution

The fourth proportional to 793.04, 1,190.09 and 280.04 is: 420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.04 : 1,190.09 = 280.04 : x
  2. Step 2: Convert to fraction form
    793.04/1,190.09 = 280.04/x
  3. Step 3: Cross multiply
    793.04x = 1,190.09 × 280.04
  4. Step 4: Simplify right side
    793.04x = 333,265.45
  5. Step 5: Solve for x
    x = 333,265.45/793.04
  6. Step 6: Final answer
    x = 420.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.