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Finding the Fourth Proportional to 782.91, 1,174.43 and 205.79

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Solution

The fourth proportional to 782.91, 1,174.43 and 205.79 is: 308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.91 : 1,174.43 = 205.79 : x
  2. Step 2: Convert to fraction form
    782.91/1,174.43 = 205.79/x
  3. Step 3: Cross multiply
    782.91x = 1,174.43 × 205.79
  4. Step 4: Simplify right side
    782.91x = 241,679.05
  5. Step 5: Solve for x
    x = 241,679.05/782.91
  6. Step 6: Final answer
    x = 308.69

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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.