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Finding the Fourth Proportional to 777.86, 1,165.81 and 366.09

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Solution

The fourth proportional to 777.86, 1,165.81 and 366.09 is: 548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.86 : 1,165.81 = 366.09 : x
  2. Step 2: Convert to fraction form
    777.86/1,165.81 = 366.09/x
  3. Step 3: Cross multiply
    777.86x = 1,165.81 × 366.09
  4. Step 4: Simplify right side
    777.86x = 426,791.38
  5. Step 5: Solve for x
    x = 426,791.38/777.86
  6. Step 6: Final answer
    x = 548.67

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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.