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Finding the Fourth Proportional to 1,093.21, 1,638.78 and 544.87

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Solution

The fourth proportional to 1,093.21, 1,638.78 and 544.87 is: 816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.21 : 1,638.78 = 544.87 : x
  2. Step 2: Convert to fraction form
    1,093.21/1,638.78 = 544.87/x
  3. Step 3: Cross multiply
    1,093.21x = 1,638.78 × 544.87
  4. Step 4: Simplify right side
    1,093.21x = 892,922.06
  5. Step 5: Solve for x
    x = 892,922.06/1,093.21
  6. Step 6: Final answer
    x = 816.79

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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.