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Finding the Fourth Proportional to 788.99, 1,183.82 and 378.24

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Solution

The fourth proportional to 788.99, 1,183.82 and 378.24 is: 567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.99 : 1,183.82 = 378.24 : x
  2. Step 2: Convert to fraction form
    788.99/1,183.82 = 378.24/x
  3. Step 3: Cross multiply
    788.99x = 1,183.82 × 378.24
  4. Step 4: Simplify right side
    788.99x = 447,769.02
  5. Step 5: Solve for x
    x = 447,769.02/788.99
  6. Step 6: Final answer
    x = 567.53

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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.