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Finding the Fourth Proportional to 788.76, 1,183.18 and 211.64

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Solution

The fourth proportional to 788.76, 1,183.18 and 211.64 is: 317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.76 : 1,183.18 = 211.64 : x
  2. Step 2: Convert to fraction form
    788.76/1,183.18 = 211.64/x
  3. Step 3: Cross multiply
    788.76x = 1,183.18 × 211.64
  4. Step 4: Simplify right side
    788.76x = 250,408.22
  5. Step 5: Solve for x
    x = 250,408.22/788.76
  6. Step 6: Final answer
    x = 317.47

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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.