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Finding the Fourth Proportional to 786.96, 1,180.44 and 209.84

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Solution

The fourth proportional to 786.96, 1,180.44 and 209.84 is: 314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.96 : 1,180.44 = 209.84 : x
  2. Step 2: Convert to fraction form
    786.96/1,180.44 = 209.84/x
  3. Step 3: Cross multiply
    786.96x = 1,180.44 × 209.84
  4. Step 4: Simplify right side
    786.96x = 247,697.63
  5. Step 5: Solve for x
    x = 247,697.63/786.96
  6. Step 6: Final answer
    x = 314.75

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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.