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Finding the Fourth Proportional to 1,396.47, 2,094.13 and 605.88

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Solution

The fourth proportional to 1,396.47, 2,094.13 and 605.88 is: 908.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.47 : 2,094.13 = 605.88 : x
  2. Step 2: Convert to fraction form
    1,396.47/2,094.13 = 605.88/x
  3. Step 3: Cross multiply
    1,396.47x = 2,094.13 × 605.88
  4. Step 4: Simplify right side
    1,396.47x = 1,268,791.48
  5. Step 5: Solve for x
    x = 1,268,791.48/1,396.47
  6. Step 6: Final answer
    x = 908.57

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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.