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Finding the Fourth Proportional to 782.76, 1,174.22 and 234.86

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Solution

The fourth proportional to 782.76, 1,174.22 and 234.86 is: 352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.76 : 1,174.22 = 234.86 : x
  2. Step 2: Convert to fraction form
    782.76/1,174.22 = 234.86/x
  3. Step 3: Cross multiply
    782.76x = 1,174.22 × 234.86
  4. Step 4: Simplify right side
    782.76x = 275,770.26
  5. Step 5: Solve for x
    x = 275,770.26/782.76
  6. Step 6: Final answer
    x = 352.31

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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.