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Finding the Fourth Proportional to 778.76, 1,168.25 and 362.09

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Solution

The fourth proportional to 778.76, 1,168.25 and 362.09 is: 543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.76 : 1,168.25 = 362.09 : x
  2. Step 2: Convert to fraction form
    778.76/1,168.25 = 362.09/x
  3. Step 3: Cross multiply
    778.76x = 1,168.25 × 362.09
  4. Step 4: Simplify right side
    778.76x = 423,011.64
  5. Step 5: Solve for x
    x = 423,011.64/778.76
  6. Step 6: Final answer
    x = 543.19

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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.