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Finding the Fourth Proportional to 1,096.09, 1,644.92 and 743.81

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Solution

The fourth proportional to 1,096.09, 1,644.92 and 743.81 is: 1,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.09 : 1,644.92 = 743.81 : x
  2. Step 2: Convert to fraction form
    1,096.09/1,644.92 = 743.81/x
  3. Step 3: Cross multiply
    1,096.09x = 1,644.92 × 743.81
  4. Step 4: Simplify right side
    1,096.09x = 1,223,508.34
  5. Step 5: Solve for x
    x = 1,223,508.34/1,096.09
  6. Step 6: Final answer
    x = 1,116.25

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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.