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Finding the Fourth Proportional to 1,181.62, 1,772.83 and 451.30

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Solution

The fourth proportional to 1,181.62, 1,772.83 and 451.30 is: 677.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.62 : 1,772.83 = 451.30 : x
  2. Step 2: Convert to fraction form
    1,181.62/1,772.83 = 451.30/x
  3. Step 3: Cross multiply
    1,181.62x = 1,772.83 × 451.30
  4. Step 4: Simplify right side
    1,181.62x = 800,078.18
  5. Step 5: Solve for x
    x = 800,078.18/1,181.62
  6. Step 6: Final answer
    x = 677.11

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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.