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Finding the Fourth Proportional to 1,483.82, 2,226.12 and 443.82

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Solution

The fourth proportional to 1,483.82, 2,226.12 and 443.82 is: 665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.82 : 2,226.12 = 443.82 : x
  2. Step 2: Convert to fraction form
    1,483.82/2,226.12 = 443.82/x
  3. Step 3: Cross multiply
    1,483.82x = 2,226.12 × 443.82
  4. Step 4: Simplify right side
    1,483.82x = 987,996.58
  5. Step 5: Solve for x
    x = 987,996.58/1,483.82
  6. Step 6: Final answer
    x = 665.85

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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.