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Finding the Fourth Proportional to 788.86, 1,183.34 and 301.94

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Solution

The fourth proportional to 788.86, 1,183.34 and 301.94 is: 452.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.86 : 1,183.34 = 301.94 : x
  2. Step 2: Convert to fraction form
    788.86/1,183.34 = 301.94/x
  3. Step 3: Cross multiply
    788.86x = 1,183.34 × 301.94
  4. Step 4: Simplify right side
    788.86x = 357,297.68
  5. Step 5: Solve for x
    x = 357,297.68/788.86
  6. Step 6: Final answer
    x = 452.93

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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.