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Finding the Fourth Proportional to 1,096.72, 1,644.80 and 327.04

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Solution

The fourth proportional to 1,096.72, 1,644.80 and 327.04 is: 490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.72 : 1,644.80 = 327.04 : x
  2. Step 2: Convert to fraction form
    1,096.72/1,644.80 = 327.04/x
  3. Step 3: Cross multiply
    1,096.72x = 1,644.80 × 327.04
  4. Step 4: Simplify right side
    1,096.72x = 537,915.39
  5. Step 5: Solve for x
    x = 537,915.39/1,096.72
  6. Step 6: Final answer
    x = 490.48

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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.