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Finding the Fourth Proportional to 788.88, 1,183.26 and 241.01

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Solution

The fourth proportional to 788.88, 1,183.26 and 241.01 is: 361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.88 : 1,183.26 = 241.01 : x
  2. Step 2: Convert to fraction form
    788.88/1,183.26 = 241.01/x
  3. Step 3: Cross multiply
    788.88x = 1,183.26 × 241.01
  4. Step 4: Simplify right side
    788.88x = 285,181.05
  5. Step 5: Solve for x
    x = 285,181.05/788.88
  6. Step 6: Final answer
    x = 361.50

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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.