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Finding the Fourth Proportional to 1,327.62, 1,832.22 and 803.64

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Solution

The fourth proportional to 1,327.62, 1,832.22 and 803.64 is: 1,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.62 : 1,832.22 = 803.64 : x
  2. Step 2: Convert to fraction form
    1,327.62/1,832.22 = 803.64/x
  3. Step 3: Cross multiply
    1,327.62x = 1,832.22 × 803.64
  4. Step 4: Simplify right side
    1,327.62x = 1,472,445.28
  5. Step 5: Solve for x
    x = 1,472,445.28/1,327.62
  6. Step 6: Final answer
    x = 1,109.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.