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Finding the Fourth Proportional to 1,181.53, 1,773.01 and 441.68

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Solution

The fourth proportional to 1,181.53, 1,773.01 and 441.68 is: 662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.53 : 1,773.01 = 441.68 : x
  2. Step 2: Convert to fraction form
    1,181.53/1,773.01 = 441.68/x
  3. Step 3: Cross multiply
    1,181.53x = 1,773.01 × 441.68
  4. Step 4: Simplify right side
    1,181.53x = 783,092.26
  5. Step 5: Solve for x
    x = 783,092.26/1,181.53
  6. Step 6: Final answer
    x = 662.78

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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.