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Finding the Fourth Proportional to 788.66, 1,183 and 301.74

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Solution

The fourth proportional to 788.66, 1,183 and 301.74 is: 452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.66 : 1,183 = 301.74 : x
  2. Step 2: Convert to fraction form
    788.66/1,183 = 301.74/x
  3. Step 3: Cross multiply
    788.66x = 1,183 × 301.74
  4. Step 4: Simplify right side
    788.66x = 356,958.42
  5. Step 5: Solve for x
    x = 356,958.42/788.66
  6. Step 6: Final answer
    x = 452.61

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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.