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Finding the Fourth Proportional to 776.99, 1,165.67 and 344.27

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Solution

The fourth proportional to 776.99, 1,165.67 and 344.27 is: 516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.99 : 1,165.67 = 344.27 : x
  2. Step 2: Convert to fraction form
    776.99/1,165.67 = 344.27/x
  3. Step 3: Cross multiply
    776.99x = 1,165.67 × 344.27
  4. Step 4: Simplify right side
    776.99x = 401,297.66
  5. Step 5: Solve for x
    x = 401,297.66/776.99
  6. Step 6: Final answer
    x = 516.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.