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Finding the Fourth Proportional to 788.64, 1,183.14 and 240.90

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Solution

The fourth proportional to 788.64, 1,183.14 and 240.90 is: 361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.64 : 1,183.14 = 240.90 : x
  2. Step 2: Convert to fraction form
    788.64/1,183.14 = 240.90/x
  3. Step 3: Cross multiply
    788.64x = 1,183.14 × 240.90
  4. Step 4: Simplify right side
    788.64x = 285,018.43
  5. Step 5: Solve for x
    x = 285,018.43/788.64
  6. Step 6: Final answer
    x = 361.40

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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.