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Finding the Fourth Proportional to 1,351.90, 2,027.31 and 486.01

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Solution

The fourth proportional to 1,351.90, 2,027.31 and 486.01 is: 728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.90 : 2,027.31 = 486.01 : x
  2. Step 2: Convert to fraction form
    1,351.90/2,027.31 = 486.01/x
  3. Step 3: Cross multiply
    1,351.90x = 2,027.31 × 486.01
  4. Step 4: Simplify right side
    1,351.90x = 985,292.93
  5. Step 5: Solve for x
    x = 985,292.93/1,351.90
  6. Step 6: Final answer
    x = 728.82

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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.