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Finding the Fourth Proportional to 1,322.56, 1,824.60 and 850.74

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Solution

The fourth proportional to 1,322.56, 1,824.60 and 850.74 is: 1,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.56 : 1,824.60 = 850.74 : x
  2. Step 2: Convert to fraction form
    1,322.56/1,824.60 = 850.74/x
  3. Step 3: Cross multiply
    1,322.56x = 1,824.60 × 850.74
  4. Step 4: Simplify right side
    1,322.56x = 1,552,260.20
  5. Step 5: Solve for x
    x = 1,552,260.20/1,322.56
  6. Step 6: Final answer
    x = 1,173.68

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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.