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Finding the Fourth Proportional to 902.91, 1,353.25 and 513.23

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Solution

The fourth proportional to 902.91, 1,353.25 and 513.23 is: 769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.91 : 1,353.25 = 513.23 : x
  2. Step 2: Convert to fraction form
    902.91/1,353.25 = 513.23/x
  3. Step 3: Cross multiply
    902.91x = 1,353.25 × 513.23
  4. Step 4: Simplify right side
    902.91x = 694,536.02
  5. Step 5: Solve for x
    x = 694,536.02/902.91
  6. Step 6: Final answer
    x = 769.22

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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.