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Finding the Fourth Proportional to 1,396.98, 2,094.93 and 409.59

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Solution

The fourth proportional to 1,396.98, 2,094.93 and 409.59 is: 614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.98 : 2,094.93 = 409.59 : x
  2. Step 2: Convert to fraction form
    1,396.98/2,094.93 = 409.59/x
  3. Step 3: Cross multiply
    1,396.98x = 2,094.93 × 409.59
  4. Step 4: Simplify right side
    1,396.98x = 858,062.38
  5. Step 5: Solve for x
    x = 858,062.38/1,396.98
  6. Step 6: Final answer
    x = 614.23

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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.