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Finding the Fourth Proportional to 764.37, 1,054.92 and 449.75

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Solution

The fourth proportional to 764.37, 1,054.92 and 449.75 is: 620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.37 : 1,054.92 = 449.75 : x
  2. Step 2: Convert to fraction form
    764.37/1,054.92 = 449.75/x
  3. Step 3: Cross multiply
    764.37x = 1,054.92 × 449.75
  4. Step 4: Simplify right side
    764.37x = 474,448.02
  5. Step 5: Solve for x
    x = 474,448.02/764.37
  6. Step 6: Final answer
    x = 620.71

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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.