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Finding the Fourth Proportional to 782.67, 1,174.23 and 295.80

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Solution

The fourth proportional to 782.67, 1,174.23 and 295.80 is: 443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.67 : 1,174.23 = 295.80 : x
  2. Step 2: Convert to fraction form
    782.67/1,174.23 = 295.80/x
  3. Step 3: Cross multiply
    782.67x = 1,174.23 × 295.80
  4. Step 4: Simplify right side
    782.67x = 347,337.23
  5. Step 5: Solve for x
    x = 347,337.23/782.67
  6. Step 6: Final answer
    x = 443.79

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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.