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Finding the Fourth Proportional to 762.78, 1,052.46 and 514.56

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Solution

The fourth proportional to 762.78, 1,052.46 and 514.56 is: 709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.78 : 1,052.46 = 514.56 : x
  2. Step 2: Convert to fraction form
    762.78/1,052.46 = 514.56/x
  3. Step 3: Cross multiply
    762.78x = 1,052.46 × 514.56
  4. Step 4: Simplify right side
    762.78x = 541,553.82
  5. Step 5: Solve for x
    x = 541,553.82/762.78
  6. Step 6: Final answer
    x = 709.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.