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Finding the Fourth Proportional to 1,365.14, 2,047.96 and 440.44

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Solution

The fourth proportional to 1,365.14, 2,047.96 and 440.44 is: 660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.14 : 2,047.96 = 440.44 : x
  2. Step 2: Convert to fraction form
    1,365.14/2,047.96 = 440.44/x
  3. Step 3: Cross multiply
    1,365.14x = 2,047.96 × 440.44
  4. Step 4: Simplify right side
    1,365.14x = 901,997.28
  5. Step 5: Solve for x
    x = 901,997.28/1,365.14
  6. Step 6: Final answer
    x = 660.74

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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.