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Finding the Fourth Proportional to 778.93, 1,168.16 and 432.44

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Solution

The fourth proportional to 778.93, 1,168.16 and 432.44 is: 648.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.93 : 1,168.16 = 432.44 : x
  2. Step 2: Convert to fraction form
    778.93/1,168.16 = 432.44/x
  3. Step 3: Cross multiply
    778.93x = 1,168.16 × 432.44
  4. Step 4: Simplify right side
    778.93x = 505,153.27
  5. Step 5: Solve for x
    x = 505,153.27/778.93
  6. Step 6: Final answer
    x = 648.53

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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.