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Finding the Fourth Proportional to 1,096.80, 1,644.64 and 327.20

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Solution

The fourth proportional to 1,096.80, 1,644.64 and 327.20 is: 490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.80 : 1,644.64 = 327.20 : x
  2. Step 2: Convert to fraction form
    1,096.80/1,644.64 = 327.20/x
  3. Step 3: Cross multiply
    1,096.80x = 1,644.64 × 327.20
  4. Step 4: Simplify right side
    1,096.80x = 538,126.21
  5. Step 5: Solve for x
    x = 538,126.21/1,096.80
  6. Step 6: Final answer
    x = 490.63

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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.