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Finding the Fourth Proportional to 819.02, 1,226.36 and 675.38

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Solution

The fourth proportional to 819.02, 1,226.36 and 675.38 is: 1,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.02 : 1,226.36 = 675.38 : x
  2. Step 2: Convert to fraction form
    819.02/1,226.36 = 675.38/x
  3. Step 3: Cross multiply
    819.02x = 1,226.36 × 675.38
  4. Step 4: Simplify right side
    819.02x = 828,259.02
  5. Step 5: Solve for x
    x = 828,259.02/819.02
  6. Step 6: Final answer
    x = 1,011.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.