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Finding the Fourth Proportional to 1,322.72, 1,826.20 and 850.84

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Solution

The fourth proportional to 1,322.72, 1,826.20 and 850.84 is: 1,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.72 : 1,826.20 = 850.84 : x
  2. Step 2: Convert to fraction form
    1,322.72/1,826.20 = 850.84/x
  3. Step 3: Cross multiply
    1,322.72x = 1,826.20 × 850.84
  4. Step 4: Simplify right side
    1,322.72x = 1,553,804.01
  5. Step 5: Solve for x
    x = 1,553,804.01/1,322.72
  6. Step 6: Final answer
    x = 1,174.70

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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.