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Finding the Fourth Proportional to 786.57, 1,179.87 and 209.43

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Solution

The fourth proportional to 786.57, 1,179.87 and 209.43 is: 314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.57 : 1,179.87 = 209.43 : x
  2. Step 2: Convert to fraction form
    786.57/1,179.87 = 209.43/x
  3. Step 3: Cross multiply
    786.57x = 1,179.87 × 209.43
  4. Step 4: Simplify right side
    786.57x = 247,100.17
  5. Step 5: Solve for x
    x = 247,100.17/786.57
  6. Step 6: Final answer
    x = 314.15

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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.