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Finding the Fourth Proportional to 1,096.60, 1,644.94 and 327

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Solution

The fourth proportional to 1,096.60, 1,644.94 and 327 is: 490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.60 : 1,644.94 = 327 : x
  2. Step 2: Convert to fraction form
    1,096.60/1,644.94 = 327/x
  3. Step 3: Cross multiply
    1,096.60x = 1,644.94 × 327
  4. Step 4: Simplify right side
    1,096.60x = 537,895.38
  5. Step 5: Solve for x
    x = 537,895.38/1,096.60
  6. Step 6: Final answer
    x = 490.51

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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.