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Finding the Fourth Proportional to 788.50, 1,182.80 and 211.42

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Solution

The fourth proportional to 788.50, 1,182.80 and 211.42 is: 317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.50 : 1,182.80 = 211.42 : x
  2. Step 2: Convert to fraction form
    788.50/1,182.80 = 211.42/x
  3. Step 3: Cross multiply
    788.50x = 1,182.80 × 211.42
  4. Step 4: Simplify right side
    788.50x = 250,067.58
  5. Step 5: Solve for x
    x = 250,067.58/788.50
  6. Step 6: Final answer
    x = 317.14

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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.