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Finding the Fourth Proportional to 762.75, 1,144.26 and 275.85

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Solution

The fourth proportional to 762.75, 1,144.26 and 275.85 is: 413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.75 : 1,144.26 = 275.85 : x
  2. Step 2: Convert to fraction form
    762.75/1,144.26 = 275.85/x
  3. Step 3: Cross multiply
    762.75x = 1,144.26 × 275.85
  4. Step 4: Simplify right side
    762.75x = 315,644.12
  5. Step 5: Solve for x
    x = 315,644.12/762.75
  6. Step 6: Final answer
    x = 413.82

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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.