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Finding the Fourth Proportional to 775.43, 1,163.04 and 646.23

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Solution

The fourth proportional to 775.43, 1,163.04 and 646.23 is: 969.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.43 : 1,163.04 = 646.23 : x
  2. Step 2: Convert to fraction form
    775.43/1,163.04 = 646.23/x
  3. Step 3: Cross multiply
    775.43x = 1,163.04 × 646.23
  4. Step 4: Simplify right side
    775.43x = 751,591.34
  5. Step 5: Solve for x
    x = 751,591.34/775.43
  6. Step 6: Final answer
    x = 969.26

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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.