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Finding the Fourth Proportional to 902.08, 1,244.85 and 509.11

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Solution

The fourth proportional to 902.08, 1,244.85 and 509.11 is: 702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.08 : 1,244.85 = 509.11 : x
  2. Step 2: Convert to fraction form
    902.08/1,244.85 = 509.11/x
  3. Step 3: Cross multiply
    902.08x = 1,244.85 × 509.11
  4. Step 4: Simplify right side
    902.08x = 633,765.58
  5. Step 5: Solve for x
    x = 633,765.58/902.08
  6. Step 6: Final answer
    x = 702.56

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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.