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Finding the Fourth Proportional to 762.81, 1,144.25 and 275.84

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Solution

The fourth proportional to 762.81, 1,144.25 and 275.84 is: 413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.81 : 1,144.25 = 275.84 : x
  2. Step 2: Convert to fraction form
    762.81/1,144.25 = 275.84/x
  3. Step 3: Cross multiply
    762.81x = 1,144.25 × 275.84
  4. Step 4: Simplify right side
    762.81x = 315,628.14
  5. Step 5: Solve for x
    x = 315,628.14/762.81
  6. Step 6: Final answer
    x = 413.77

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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.