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Finding the Fourth Proportional to 1,351.47, 2,027.34 and 427.26

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Solution

The fourth proportional to 1,351.47, 2,027.34 and 427.26 is: 640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.47 : 2,027.34 = 427.26 : x
  2. Step 2: Convert to fraction form
    1,351.47/2,027.34 = 427.26/x
  3. Step 3: Cross multiply
    1,351.47x = 2,027.34 × 427.26
  4. Step 4: Simplify right side
    1,351.47x = 866,201.29
  5. Step 5: Solve for x
    x = 866,201.29/1,351.47
  6. Step 6: Final answer
    x = 640.93

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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.