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Finding the Fourth Proportional to 1,447.42, 1,997.76 and 850.18

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Solution

The fourth proportional to 1,447.42, 1,997.76 and 850.18 is: 1,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.42 : 1,997.76 = 850.18 : x
  2. Step 2: Convert to fraction form
    1,447.42/1,997.76 = 850.18/x
  3. Step 3: Cross multiply
    1,447.42x = 1,997.76 × 850.18
  4. Step 4: Simplify right side
    1,447.42x = 1,698,455.60
  5. Step 5: Solve for x
    x = 1,698,455.60/1,447.42
  6. Step 6: Final answer
    x = 1,173.44

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