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Finding the Fourth Proportional to 782.66, 1,174.01 and 205.54

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Solution

The fourth proportional to 782.66, 1,174.01 and 205.54 is: 308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.66 : 1,174.01 = 205.54 : x
  2. Step 2: Convert to fraction form
    782.66/1,174.01 = 205.54/x
  3. Step 3: Cross multiply
    782.66x = 1,174.01 × 205.54
  4. Step 4: Simplify right side
    782.66x = 241,302.05
  5. Step 5: Solve for x
    x = 241,302.05/782.66
  6. Step 6: Final answer
    x = 308.31

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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.