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Finding the Fourth Proportional to 764.59, 1,147.44 and 277.67

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Solution

The fourth proportional to 764.59, 1,147.44 and 277.67 is: 416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.59 : 1,147.44 = 277.67 : x
  2. Step 2: Convert to fraction form
    764.59/1,147.44 = 277.67/x
  3. Step 3: Cross multiply
    764.59x = 1,147.44 × 277.67
  4. Step 4: Simplify right side
    764.59x = 318,609.66
  5. Step 5: Solve for x
    x = 318,609.66/764.59
  6. Step 6: Final answer
    x = 416.71

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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.