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Finding the Fourth Proportional to 807.12, 1,208.25 and 676.44

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Solution

The fourth proportional to 807.12, 1,208.25 and 676.44 is: 1,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.12 : 1,208.25 = 676.44 : x
  2. Step 2: Convert to fraction form
    807.12/1,208.25 = 676.44/x
  3. Step 3: Cross multiply
    807.12x = 1,208.25 × 676.44
  4. Step 4: Simplify right side
    807.12x = 817,308.63
  5. Step 5: Solve for x
    x = 817,308.63/807.12
  6. Step 6: Final answer
    x = 1,012.62

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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.