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Finding the Fourth Proportional to 1,431.05, 2,144.55 and 813.83

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Solution

The fourth proportional to 1,431.05, 2,144.55 and 813.83 is: 1,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.05 : 2,144.55 = 813.83 : x
  2. Step 2: Convert to fraction form
    1,431.05/2,144.55 = 813.83/x
  3. Step 3: Cross multiply
    1,431.05x = 2,144.55 × 813.83
  4. Step 4: Simplify right side
    1,431.05x = 1,745,299.13
  5. Step 5: Solve for x
    x = 1,745,299.13/1,431.05
  6. Step 6: Final answer
    x = 1,219.59

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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.