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Finding the Fourth Proportional to 762.78, 1,144.16 and 275.84

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Solution

The fourth proportional to 762.78, 1,144.16 and 275.84 is: 413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.78 : 1,144.16 = 275.84 : x
  2. Step 2: Convert to fraction form
    762.78/1,144.16 = 275.84/x
  3. Step 3: Cross multiply
    762.78x = 1,144.16 × 275.84
  4. Step 4: Simplify right side
    762.78x = 315,605.09
  5. Step 5: Solve for x
    x = 315,605.09/762.78
  6. Step 6: Final answer
    x = 413.76

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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.