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Finding the Fourth Proportional to 776.85, 1,165.32 and 344.31

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Solution

The fourth proportional to 776.85, 1,165.32 and 344.31 is: 516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.85 : 1,165.32 = 344.31 : x
  2. Step 2: Convert to fraction form
    776.85/1,165.32 = 344.31/x
  3. Step 3: Cross multiply
    776.85x = 1,165.32 × 344.31
  4. Step 4: Simplify right side
    776.85x = 401,231.33
  5. Step 5: Solve for x
    x = 401,231.33/776.85
  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.