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Finding the Fourth Proportional to 782.44, 1,173.54 and 205.36

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Solution

The fourth proportional to 782.44, 1,173.54 and 205.36 is: 308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.44 : 1,173.54 = 205.36 : x
  2. Step 2: Convert to fraction form
    782.44/1,173.54 = 205.36/x
  3. Step 3: Cross multiply
    782.44x = 1,173.54 × 205.36
  4. Step 4: Simplify right side
    782.44x = 240,998.17
  5. Step 5: Solve for x
    x = 240,998.17/782.44
  6. Step 6: Final answer
    x = 308.01

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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.