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Finding the Fourth Proportional to 776.09, 1,163.31 and 364.88

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Solution

The fourth proportional to 776.09, 1,163.31 and 364.88 is: 546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.09 : 1,163.31 = 364.88 : x
  2. Step 2: Convert to fraction form
    776.09/1,163.31 = 364.88/x
  3. Step 3: Cross multiply
    776.09x = 1,163.31 × 364.88
  4. Step 4: Simplify right side
    776.09x = 424,468.55
  5. Step 5: Solve for x
    x = 424,468.55/776.09
  6. Step 6: Final answer
    x = 546.93

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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.