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Finding the Fourth Proportional to 782.57, 1,173.92 and 205.44

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Solution

The fourth proportional to 782.57, 1,173.92 and 205.44 is: 308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.57 : 1,173.92 = 205.44 : x
  2. Step 2: Convert to fraction form
    782.57/1,173.92 = 205.44/x
  3. Step 3: Cross multiply
    782.57x = 1,173.92 × 205.44
  4. Step 4: Simplify right side
    782.57x = 241,169.10
  5. Step 5: Solve for x
    x = 241,169.10/782.57
  6. Step 6: Final answer
    x = 308.18

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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.