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Finding the Fourth Proportional to 788.74, 1,183.32 and 240.94

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Solution

The fourth proportional to 788.74, 1,183.32 and 240.94 is: 361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.74 : 1,183.32 = 240.94 : x
  2. Step 2: Convert to fraction form
    788.74/1,183.32 = 240.94/x
  3. Step 3: Cross multiply
    788.74x = 1,183.32 × 240.94
  4. Step 4: Simplify right side
    788.74x = 285,109.12
  5. Step 5: Solve for x
    x = 285,109.12/788.74
  6. Step 6: Final answer
    x = 361.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.