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Finding the Fourth Proportional to 786.14, 1,179.24 and 209

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Solution

The fourth proportional to 786.14, 1,179.24 and 209 is: 313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.14 : 1,179.24 = 209 : x
  2. Step 2: Convert to fraction form
    786.14/1,179.24 = 209/x
  3. Step 3: Cross multiply
    786.14x = 1,179.24 × 209
  4. Step 4: Simplify right side
    786.14x = 246,461.16
  5. Step 5: Solve for x
    x = 246,461.16/786.14
  6. Step 6: Final answer
    x = 313.51

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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.