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Finding the Fourth Proportional to 764.90, 1,147.14 and 296.27

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Solution

The fourth proportional to 764.90, 1,147.14 and 296.27 is: 444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.90 : 1,147.14 = 296.27 : x
  2. Step 2: Convert to fraction form
    764.90/1,147.14 = 296.27/x
  3. Step 3: Cross multiply
    764.90x = 1,147.14 × 296.27
  4. Step 4: Simplify right side
    764.90x = 339,857.43
  5. Step 5: Solve for x
    x = 339,857.43/764.90
  6. Step 6: Final answer
    x = 444.32

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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.