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Finding the Fourth Proportional to 793.85, 1,189.18 and 504.25

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Solution

The fourth proportional to 793.85, 1,189.18 and 504.25 is: 755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.85 : 1,189.18 = 504.25 : x
  2. Step 2: Convert to fraction form
    793.85/1,189.18 = 504.25/x
  3. Step 3: Cross multiply
    793.85x = 1,189.18 × 504.25
  4. Step 4: Simplify right side
    793.85x = 599,641.49
  5. Step 5: Solve for x
    x = 599,641.49/793.85
  6. Step 6: Final answer
    x = 755.36

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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.