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Finding the Fourth Proportional to 793.77, 1,189 and 468.96

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Solution

The fourth proportional to 793.77, 1,189 and 468.96 is: 702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.77 : 1,189 = 468.96 : x
  2. Step 2: Convert to fraction form
    793.77/1,189 = 468.96/x
  3. Step 3: Cross multiply
    793.77x = 1,189 × 468.96
  4. Step 4: Simplify right side
    793.77x = 557,593.44
  5. Step 5: Solve for x
    x = 557,593.44/793.77
  6. Step 6: Final answer
    x = 702.46

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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.