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Finding the Fourth Proportional to 788.88, 1,183.38 and 211.75

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Solution

The fourth proportional to 788.88, 1,183.38 and 211.75 is: 317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.88 : 1,183.38 = 211.75 : x
  2. Step 2: Convert to fraction form
    788.88/1,183.38 = 211.75/x
  3. Step 3: Cross multiply
    788.88x = 1,183.38 × 211.75
  4. Step 4: Simplify right side
    788.88x = 250,580.72
  5. Step 5: Solve for x
    x = 250,580.72/788.88
  6. Step 6: Final answer
    x = 317.64

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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.