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Finding the Fourth Proportional to 778.87, 1,167.29 and 383.64

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Solution

The fourth proportional to 778.87, 1,167.29 and 383.64 is: 574.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.87 : 1,167.29 = 383.64 : x
  2. Step 2: Convert to fraction form
    778.87/1,167.29 = 383.64/x
  3. Step 3: Cross multiply
    778.87x = 1,167.29 × 383.64
  4. Step 4: Simplify right side
    778.87x = 447,819.14
  5. Step 5: Solve for x
    x = 447,819.14/778.87
  6. Step 6: Final answer
    x = 574.96

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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.