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Finding the Fourth Proportional to 786.51, 1,179.72 and 209.37

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Solution

The fourth proportional to 786.51, 1,179.72 and 209.37 is: 314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.51 : 1,179.72 = 209.37 : x
  2. Step 2: Convert to fraction form
    786.51/1,179.72 = 209.37/x
  3. Step 3: Cross multiply
    786.51x = 1,179.72 × 209.37
  4. Step 4: Simplify right side
    786.51x = 246,997.98
  5. Step 5: Solve for x
    x = 246,997.98/786.51
  6. Step 6: Final answer
    x = 314.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.