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Finding the Fourth Proportional to 650.97, 896.31 and 614.88

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Solution

The fourth proportional to 650.97, 896.31 and 614.88 is: 846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.97 : 896.31 = 614.88 : x
  2. Step 2: Convert to fraction form
    650.97/896.31 = 614.88/x
  3. Step 3: Cross multiply
    650.97x = 896.31 × 614.88
  4. Step 4: Simplify right side
    650.97x = 551,123.09
  5. Step 5: Solve for x
    x = 551,123.09/650.97
  6. Step 6: Final answer
    x = 846.62

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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.