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Finding the Fourth Proportional to 902.80, 1,352.52 and 516.88

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Solution

The fourth proportional to 902.80, 1,352.52 and 516.88 is: 774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.80 : 1,352.52 = 516.88 : x
  2. Step 2: Convert to fraction form
    902.80/1,352.52 = 516.88/x
  3. Step 3: Cross multiply
    902.80x = 1,352.52 × 516.88
  4. Step 4: Simplify right side
    902.80x = 699,090.54
  5. Step 5: Solve for x
    x = 699,090.54/902.80
  6. Step 6: Final answer
    x = 774.36

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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.