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Finding the Fourth Proportional to 1,351.88, 2,028.63 and 486.26

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Solution

The fourth proportional to 1,351.88, 2,028.63 and 486.26 is: 729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.88 : 2,028.63 = 486.26 : x
  2. Step 2: Convert to fraction form
    1,351.88/2,028.63 = 486.26/x
  3. Step 3: Cross multiply
    1,351.88x = 2,028.63 × 486.26
  4. Step 4: Simplify right side
    1,351.88x = 986,441.62
  5. Step 5: Solve for x
    x = 986,441.62/1,351.88
  6. Step 6: Final answer
    x = 729.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.