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Finding the Fourth Proportional to 1,369.73, 2,054.37 and 395.57

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Solution

The fourth proportional to 1,369.73, 2,054.37 and 395.57 is: 593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.73 : 2,054.37 = 395.57 : x
  2. Step 2: Convert to fraction form
    1,369.73/2,054.37 = 395.57/x
  3. Step 3: Cross multiply
    1,369.73x = 2,054.37 × 395.57
  4. Step 4: Simplify right side
    1,369.73x = 812,647.14
  5. Step 5: Solve for x
    x = 812,647.14/1,369.73
  6. Step 6: Final answer
    x = 593.29

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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.