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Finding the Fourth Proportional to 1,231.13, 1,846.23 and 538.13

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Solution

The fourth proportional to 1,231.13, 1,846.23 and 538.13 is: 806.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.13 : 1,846.23 = 538.13 : x
  2. Step 2: Convert to fraction form
    1,231.13/1,846.23 = 538.13/x
  3. Step 3: Cross multiply
    1,231.13x = 1,846.23 × 538.13
  4. Step 4: Simplify right side
    1,231.13x = 993,511.75
  5. Step 5: Solve for x
    x = 993,511.75/1,231.13
  6. Step 6: Final answer
    x = 806.99

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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.