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Finding the Fourth Proportional to 1,365.57, 2,047.49 and 635.37

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Solution

The fourth proportional to 1,365.57, 2,047.49 and 635.37 is: 952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.57 : 2,047.49 = 635.37 : x
  2. Step 2: Convert to fraction form
    1,365.57/2,047.49 = 635.37/x
  3. Step 3: Cross multiply
    1,365.57x = 2,047.49 × 635.37
  4. Step 4: Simplify right side
    1,365.57x = 1,300,910.54
  5. Step 5: Solve for x
    x = 1,300,910.54/1,365.57
  6. Step 6: Final answer
    x = 952.65

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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.