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Finding the Fourth Proportional to 1,100.22, 1,515.81 and 850.68

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Solution

The fourth proportional to 1,100.22, 1,515.81 and 850.68 is: 1,172.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.22 : 1,515.81 = 850.68 : x
  2. Step 2: Convert to fraction form
    1,100.22/1,515.81 = 850.68/x
  3. Step 3: Cross multiply
    1,100.22x = 1,515.81 × 850.68
  4. Step 4: Simplify right side
    1,100.22x = 1,289,469.25
  5. Step 5: Solve for x
    x = 1,289,469.25/1,100.22
  6. Step 6: Final answer
    x = 1,172.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.