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Finding the Fourth Proportional to 1,144.44, 1,716.83 and 486.31

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Solution

The fourth proportional to 1,144.44, 1,716.83 and 486.31 is: 729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.44 : 1,716.83 = 486.31 : x
  2. Step 2: Convert to fraction form
    1,144.44/1,716.83 = 486.31/x
  3. Step 3: Cross multiply
    1,144.44x = 1,716.83 × 486.31
  4. Step 4: Simplify right side
    1,144.44x = 834,911.60
  5. Step 5: Solve for x
    x = 834,911.60/1,144.44
  6. Step 6: Final answer
    x = 729.54

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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.