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Finding the Fourth Proportional to 902.09, 1,244.87 and 509.09

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Solution

The fourth proportional to 902.09, 1,244.87 and 509.09 is: 702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.09 : 1,244.87 = 509.09 : x
  2. Step 2: Convert to fraction form
    902.09/1,244.87 = 509.09/x
  3. Step 3: Cross multiply
    902.09x = 1,244.87 × 509.09
  4. Step 4: Simplify right side
    902.09x = 633,744.01
  5. Step 5: Solve for x
    x = 633,744.01/902.09
  6. Step 6: Final answer
    x = 702.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.