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Finding the Fourth Proportional to 776.32, 1,163.57 and 342.56

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Solution

The fourth proportional to 776.32, 1,163.57 and 342.56 is: 513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.32 : 1,163.57 = 342.56 : x
  2. Step 2: Convert to fraction form
    776.32/1,163.57 = 342.56/x
  3. Step 3: Cross multiply
    776.32x = 1,163.57 × 342.56
  4. Step 4: Simplify right side
    776.32x = 398,593.74
  5. Step 5: Solve for x
    x = 398,593.74/776.32
  6. Step 6: Final answer
    x = 513.44

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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.