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Finding the Fourth Proportional to 782.20, 1,173.30 and 205.08

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Solution

The fourth proportional to 782.20, 1,173.30 and 205.08 is: 307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.20 : 1,173.30 = 205.08 : x
  2. Step 2: Convert to fraction form
    782.20/1,173.30 = 205.08/x
  3. Step 3: Cross multiply
    782.20x = 1,173.30 × 205.08
  4. Step 4: Simplify right side
    782.20x = 240,620.36
  5. Step 5: Solve for x
    x = 240,620.36/782.20
  6. Step 6: Final answer
    x = 307.62

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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.