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Finding the Fourth Proportional to 782.57, 1,174.03 and 234.79

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Solution

The fourth proportional to 782.57, 1,174.03 and 234.79 is: 352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.57 : 1,174.03 = 234.79 : x
  2. Step 2: Convert to fraction form
    782.57/1,174.03 = 234.79/x
  3. Step 3: Cross multiply
    782.57x = 1,174.03 × 234.79
  4. Step 4: Simplify right side
    782.57x = 275,646.98
  5. Step 5: Solve for x
    x = 275,646.98/782.57
  6. Step 6: Final answer
    x = 352.23

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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.