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Finding the Fourth Proportional to 1,243.34, 1,715.97 and 850.22

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Solution

The fourth proportional to 1,243.34, 1,715.97 and 850.22 is: 1,173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.34 : 1,715.97 = 850.22 : x
  2. Step 2: Convert to fraction form
    1,243.34/1,715.97 = 850.22/x
  3. Step 3: Cross multiply
    1,243.34x = 1,715.97 × 850.22
  4. Step 4: Simplify right side
    1,243.34x = 1,458,952.01
  5. Step 5: Solve for x
    x = 1,458,952.01/1,243.34
  6. Step 6: Final answer
    x = 1,173.41

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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.