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Finding the Fourth Proportional to 788.62, 1,183.20 and 301.81

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Solution

The fourth proportional to 788.62, 1,183.20 and 301.81 is: 452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.62 : 1,183.20 = 301.81 : x
  2. Step 2: Convert to fraction form
    788.62/1,183.20 = 301.81/x
  3. Step 3: Cross multiply
    788.62x = 1,183.20 × 301.81
  4. Step 4: Simplify right side
    788.62x = 357,101.59
  5. Step 5: Solve for x
    x = 357,101.59/788.62
  6. Step 6: Final answer
    x = 452.82

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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.