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Finding the Fourth Proportional to 788.82, 1,183.20 and 211.71

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Solution

The fourth proportional to 788.82, 1,183.20 and 211.71 is: 317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.82 : 1,183.20 = 211.71 : x
  2. Step 2: Convert to fraction form
    788.82/1,183.20 = 211.71/x
  3. Step 3: Cross multiply
    788.82x = 1,183.20 × 211.71
  4. Step 4: Simplify right side
    788.82x = 250,495.27
  5. Step 5: Solve for x
    x = 250,495.27/788.82
  6. Step 6: Final answer
    x = 317.56

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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.