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Finding the Fourth Proportional to 786.75, 1,180.20 and 209.63

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Solution

The fourth proportional to 786.75, 1,180.20 and 209.63 is: 314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.75 : 1,180.20 = 209.63 : x
  2. Step 2: Convert to fraction form
    786.75/1,180.20 = 209.63/x
  3. Step 3: Cross multiply
    786.75x = 1,180.20 × 209.63
  4. Step 4: Simplify right side
    786.75x = 247,405.33
  5. Step 5: Solve for x
    x = 247,405.33/786.75
  6. Step 6: Final answer
    x = 314.46

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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.