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Finding the Fourth Proportional to 762.72, 1,144.07 and 300.71

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Solution

The fourth proportional to 762.72, 1,144.07 and 300.71 is: 451.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.72 : 1,144.07 = 300.71 : x
  2. Step 2: Convert to fraction form
    762.72/1,144.07 = 300.71/x
  3. Step 3: Cross multiply
    762.72x = 1,144.07 × 300.71
  4. Step 4: Simplify right side
    762.72x = 344,037.47
  5. Step 5: Solve for x
    x = 344,037.47/762.72
  6. Step 6: Final answer
    x = 451.07

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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.