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Finding the Fourth Proportional to 776.28, 1,163.84 and 365.12

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Solution

The fourth proportional to 776.28, 1,163.84 and 365.12 is: 547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.28 : 1,163.84 = 365.12 : x
  2. Step 2: Convert to fraction form
    776.28/1,163.84 = 365.12/x
  3. Step 3: Cross multiply
    776.28x = 1,163.84 × 365.12
  4. Step 4: Simplify right side
    776.28x = 424,933.62
  5. Step 5: Solve for x
    x = 424,933.62/776.28
  6. Step 6: Final answer
    x = 547.40

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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.