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Finding the Fourth Proportional to 782.80, 1,174.10 and 205.72

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Solution

The fourth proportional to 782.80, 1,174.10 and 205.72 is: 308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.80 : 1,174.10 = 205.72 : x
  2. Step 2: Convert to fraction form
    782.80/1,174.10 = 205.72/x
  3. Step 3: Cross multiply
    782.80x = 1,174.10 × 205.72
  4. Step 4: Simplify right side
    782.80x = 241,535.85
  5. Step 5: Solve for x
    x = 241,535.85/782.80
  6. Step 6: Final answer
    x = 308.55

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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.