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Finding the Fourth Proportional to 1,322.44, 1,824.14 and 850.95

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Solution

The fourth proportional to 1,322.44, 1,824.14 and 850.95 is: 1,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.44 : 1,824.14 = 850.95 : x
  2. Step 2: Convert to fraction form
    1,322.44/1,824.14 = 850.95/x
  3. Step 3: Cross multiply
    1,322.44x = 1,824.14 × 850.95
  4. Step 4: Simplify right side
    1,322.44x = 1,552,254.06
  5. Step 5: Solve for x
    x = 1,552,254.06/1,322.44
  6. Step 6: Final answer
    x = 1,173.78

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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.