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Finding the Fourth Proportional to 1,101.56, 1,640.36 and 1,089.44

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Solution

The fourth proportional to 1,101.56, 1,640.36 and 1,089.44 is: 1,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.56 : 1,640.36 = 1,089.44 : x
  2. Step 2: Convert to fraction form
    1,101.56/1,640.36 = 1,089.44/x
  3. Step 3: Cross multiply
    1,101.56x = 1,640.36 × 1,089.44
  4. Step 4: Simplify right side
    1,101.56x = 1,787,073.80
  5. Step 5: Solve for x
    x = 1,787,073.80/1,101.56
  6. Step 6: Final answer
    x = 1,622.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.