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Finding the Fourth Proportional to 788.84, 1,183.14 and 240.92

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Solution

The fourth proportional to 788.84, 1,183.14 and 240.92 is: 361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.84 : 1,183.14 = 240.92 : x
  2. Step 2: Convert to fraction form
    788.84/1,183.14 = 240.92/x
  3. Step 3: Cross multiply
    788.84x = 1,183.14 × 240.92
  4. Step 4: Simplify right side
    788.84x = 285,042.09
  5. Step 5: Solve for x
    x = 285,042.09/788.84
  6. Step 6: Final answer
    x = 361.34

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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.