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Finding the Fourth Proportional to 764.74, 1,147.13 and 399.30

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Solution

The fourth proportional to 764.74, 1,147.13 and 399.30 is: 598.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.74 : 1,147.13 = 399.30 : x
  2. Step 2: Convert to fraction form
    764.74/1,147.13 = 399.30/x
  3. Step 3: Cross multiply
    764.74x = 1,147.13 × 399.30
  4. Step 4: Simplify right side
    764.74x = 458,049.01
  5. Step 5: Solve for x
    x = 458,049.01/764.74
  6. Step 6: Final answer
    x = 598.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.