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Finding the Fourth Proportional to 902.09, 1,353.14 and 517.07

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Solution

The fourth proportional to 902.09, 1,353.14 and 517.07 is: 775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.09 : 1,353.14 = 517.07 : x
  2. Step 2: Convert to fraction form
    902.09/1,353.14 = 517.07/x
  3. Step 3: Cross multiply
    902.09x = 1,353.14 × 517.07
  4. Step 4: Simplify right side
    902.09x = 699,658.75
  5. Step 5: Solve for x
    x = 699,658.75/902.09
  6. Step 6: Final answer
    x = 775.60

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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.