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Finding the Fourth Proportional to 1,399.41, 2,096.98 and 704.14

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Solution

The fourth proportional to 1,399.41, 2,096.98 and 704.14 is: 1,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.41 : 2,096.98 = 704.14 : x
  2. Step 2: Convert to fraction form
    1,399.41/2,096.98 = 704.14/x
  3. Step 3: Cross multiply
    1,399.41x = 2,096.98 × 704.14
  4. Step 4: Simplify right side
    1,399.41x = 1,476,560.49
  5. Step 5: Solve for x
    x = 1,476,560.49/1,399.41
  6. Step 6: Final answer
    x = 1,055.13

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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.