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Finding the Fourth Proportional to 1,322.37, 1,824.72 and 762.73

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Solution

The fourth proportional to 1,322.37, 1,824.72 and 762.73 is: 1,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.37 : 1,824.72 = 762.73 : x
  2. Step 2: Convert to fraction form
    1,322.37/1,824.72 = 762.73/x
  3. Step 3: Cross multiply
    1,322.37x = 1,824.72 × 762.73
  4. Step 4: Simplify right side
    1,322.37x = 1,391,768.69
  5. Step 5: Solve for x
    x = 1,391,768.69/1,322.37
  6. Step 6: Final answer
    x = 1,052.48

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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.