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Finding the Fourth Proportional to 765.11, 1,147.11 and 244.81

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Solution

The fourth proportional to 765.11, 1,147.11 and 244.81 is: 367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.11 : 1,147.11 = 244.81 : x
  2. Step 2: Convert to fraction form
    765.11/1,147.11 = 244.81/x
  3. Step 3: Cross multiply
    765.11x = 1,147.11 × 244.81
  4. Step 4: Simplify right side
    765.11x = 280,826.67
  5. Step 5: Solve for x
    x = 280,826.67/765.11
  6. Step 6: Final answer
    x = 367.04

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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.