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Finding the Fourth Proportional to 1,447.70, 1,997.78 and 850.19

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Solution

The fourth proportional to 1,447.70, 1,997.78 and 850.19 is: 1,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.70 : 1,997.78 = 850.19 : x
  2. Step 2: Convert to fraction form
    1,447.70/1,997.78 = 850.19/x
  3. Step 3: Cross multiply
    1,447.70x = 1,997.78 × 850.19
  4. Step 4: Simplify right side
    1,447.70x = 1,698,484.32
  5. Step 5: Solve for x
    x = 1,698,484.32/1,447.70
  6. Step 6: Final answer
    x = 1,173.23

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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.