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Finding the Fourth Proportional to 775.74, 1,163.57 and 469.56

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Solution

The fourth proportional to 775.74, 1,163.57 and 469.56 is: 704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.74 : 1,163.57 = 469.56 : x
  2. Step 2: Convert to fraction form
    775.74/1,163.57 = 469.56/x
  3. Step 3: Cross multiply
    775.74x = 1,163.57 × 469.56
  4. Step 4: Simplify right side
    775.74x = 546,367.94
  5. Step 5: Solve for x
    x = 546,367.94/775.74
  6. Step 6: Final answer
    x = 704.31

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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.