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Finding the Fourth Proportional to 1,213.04, 1,672.32 and 819.44

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Solution

The fourth proportional to 1,213.04, 1,672.32 and 819.44 is: 1,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.04 : 1,672.32 = 819.44 : x
  2. Step 2: Convert to fraction form
    1,213.04/1,672.32 = 819.44/x
  3. Step 3: Cross multiply
    1,213.04x = 1,672.32 × 819.44
  4. Step 4: Simplify right side
    1,213.04x = 1,370,365.90
  5. Step 5: Solve for x
    x = 1,370,365.90/1,213.04
  6. Step 6: Final answer
    x = 1,129.70

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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.