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Finding the Fourth Proportional to 1,383.06, 2,074.11 and 395.61

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Solution

The fourth proportional to 1,383.06, 2,074.11 and 395.61 is: 593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.06 : 2,074.11 = 395.61 : x
  2. Step 2: Convert to fraction form
    1,383.06/2,074.11 = 395.61/x
  3. Step 3: Cross multiply
    1,383.06x = 2,074.11 × 395.61
  4. Step 4: Simplify right side
    1,383.06x = 820,538.87
  5. Step 5: Solve for x
    x = 820,538.87/1,383.06
  6. Step 6: Final answer
    x = 593.28

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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.