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Finding the Fourth Proportional to 776.30, 1,163.67 and 406.22

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Solution

The fourth proportional to 776.30, 1,163.67 and 406.22 is: 608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.30 : 1,163.67 = 406.22 : x
  2. Step 2: Convert to fraction form
    776.30/1,163.67 = 406.22/x
  3. Step 3: Cross multiply
    776.30x = 1,163.67 × 406.22
  4. Step 4: Simplify right side
    776.30x = 472,698.69
  5. Step 5: Solve for x
    x = 472,698.69/776.30
  6. Step 6: Final answer
    x = 608.92

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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.