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Finding the Fourth Proportional to 782.66, 1,174.01 and 234.85

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Solution

The fourth proportional to 782.66, 1,174.01 and 234.85 is: 352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.66 : 1,174.01 = 234.85 : x
  2. Step 2: Convert to fraction form
    782.66/1,174.01 = 234.85/x
  3. Step 3: Cross multiply
    782.66x = 1,174.01 × 234.85
  4. Step 4: Simplify right side
    782.66x = 275,716.25
  5. Step 5: Solve for x
    x = 275,716.25/782.66
  6. Step 6: Final answer
    x = 352.28

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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.