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Finding the Fourth Proportional to 896.40, 1,343.16 and 463.68

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Solution

The fourth proportional to 896.40, 1,343.16 and 463.68 is: 694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.40 : 1,343.16 = 463.68 : x
  2. Step 2: Convert to fraction form
    896.40/1,343.16 = 463.68/x
  3. Step 3: Cross multiply
    896.40x = 1,343.16 × 463.68
  4. Step 4: Simplify right side
    896.40x = 622,796.43
  5. Step 5: Solve for x
    x = 622,796.43/896.40
  6. Step 6: Final answer
    x = 694.78

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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.