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Finding the Fourth Proportional to 1,362.31, 2,040.37 and 704.38

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Solution

The fourth proportional to 1,362.31, 2,040.37 and 704.38 is: 1,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.31 : 2,040.37 = 704.38 : x
  2. Step 2: Convert to fraction form
    1,362.31/2,040.37 = 704.38/x
  3. Step 3: Cross multiply
    1,362.31x = 2,040.37 × 704.38
  4. Step 4: Simplify right side
    1,362.31x = 1,437,195.82
  5. Step 5: Solve for x
    x = 1,437,195.82/1,362.31
  6. Step 6: Final answer
    x = 1,054.97

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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.