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Finding the Fourth Proportional to 1,096.26, 1,644.39 and 447.06

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Solution

The fourth proportional to 1,096.26, 1,644.39 and 447.06 is: 670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.26 : 1,644.39 = 447.06 : x
  2. Step 2: Convert to fraction form
    1,096.26/1,644.39 = 447.06/x
  3. Step 3: Cross multiply
    1,096.26x = 1,644.39 × 447.06
  4. Step 4: Simplify right side
    1,096.26x = 735,140.99
  5. Step 5: Solve for x
    x = 735,140.99/1,096.26
  6. Step 6: Final answer
    x = 670.59

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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.