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Finding the Fourth Proportional to 776.26, 1,164.84 and 343.42

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Solution

The fourth proportional to 776.26, 1,164.84 and 343.42 is: 515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.26 : 1,164.84 = 343.42 : x
  2. Step 2: Convert to fraction form
    776.26/1,164.84 = 343.42/x
  3. Step 3: Cross multiply
    776.26x = 1,164.84 × 343.42
  4. Step 4: Simplify right side
    776.26x = 400,029.35
  5. Step 5: Solve for x
    x = 400,029.35/776.26
  6. Step 6: Final answer
    x = 515.33

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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.