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Finding the Fourth Proportional to 762.97, 1,144.49 and 276.02

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Solution

The fourth proportional to 762.97, 1,144.49 and 276.02 is: 414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.97 : 1,144.49 = 276.02 : x
  2. Step 2: Convert to fraction form
    762.97/1,144.49 = 276.02/x
  3. Step 3: Cross multiply
    762.97x = 1,144.49 × 276.02
  4. Step 4: Simplify right side
    762.97x = 315,902.82
  5. Step 5: Solve for x
    x = 315,902.82/762.97
  6. Step 6: Final answer
    x = 414.05

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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.