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Finding the Fourth Proportional to 788.38, 1,183.06 and 301.48

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Solution

The fourth proportional to 788.38, 1,183.06 and 301.48 is: 452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.38 : 1,183.06 = 301.48 : x
  2. Step 2: Convert to fraction form
    788.38/1,183.06 = 301.48/x
  3. Step 3: Cross multiply
    788.38x = 1,183.06 × 301.48
  4. Step 4: Simplify right side
    788.38x = 356,668.93
  5. Step 5: Solve for x
    x = 356,668.93/788.38
  6. Step 6: Final answer
    x = 452.41

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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.