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Finding the Fourth Proportional to 1,366.83, 2,049.84 and 544.68

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Solution

The fourth proportional to 1,366.83, 2,049.84 and 544.68 is: 816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.83 : 2,049.84 = 544.68 : x
  2. Step 2: Convert to fraction form
    1,366.83/2,049.84 = 544.68/x
  3. Step 3: Cross multiply
    1,366.83x = 2,049.84 × 544.68
  4. Step 4: Simplify right side
    1,366.83x = 1,116,506.85
  5. Step 5: Solve for x
    x = 1,116,506.85/1,366.83
  6. Step 6: Final answer
    x = 816.86

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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.