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Finding the Fourth Proportional to 778.91, 1,168.61 and 533.16

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Solution

The fourth proportional to 778.91, 1,168.61 and 533.16 is: 799.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.91 : 1,168.61 = 533.16 : x
  2. Step 2: Convert to fraction form
    778.91/1,168.61 = 533.16/x
  3. Step 3: Cross multiply
    778.91x = 1,168.61 × 533.16
  4. Step 4: Simplify right side
    778.91x = 623,053.44
  5. Step 5: Solve for x
    x = 623,053.44/778.91
  6. Step 6: Final answer
    x = 799.91

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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.