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Finding the Fourth Proportional to 775.24, 1,163.67 and 467.85

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Solution

The fourth proportional to 775.24, 1,163.67 and 467.85 is: 702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.24 : 1,163.67 = 467.85 : x
  2. Step 2: Convert to fraction form
    775.24/1,163.67 = 467.85/x
  3. Step 3: Cross multiply
    775.24x = 1,163.67 × 467.85
  4. Step 4: Simplify right side
    775.24x = 544,423.01
  5. Step 5: Solve for x
    x = 544,423.01/775.24
  6. Step 6: Final answer
    x = 702.26

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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.