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Finding the Fourth Proportional to 788.68, 1,182.92 and 211.60

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Solution

The fourth proportional to 788.68, 1,182.92 and 211.60 is: 317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.68 : 1,182.92 = 211.60 : x
  2. Step 2: Convert to fraction form
    788.68/1,182.92 = 211.60/x
  3. Step 3: Cross multiply
    788.68x = 1,182.92 × 211.60
  4. Step 4: Simplify right side
    788.68x = 250,305.87
  5. Step 5: Solve for x
    x = 250,305.87/788.68
  6. Step 6: Final answer
    x = 317.37

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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.