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Finding the Fourth Proportional to 1,366.20, 2,049.65 and 544.47

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Solution

The fourth proportional to 1,366.20, 2,049.65 and 544.47 is: 816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.20 : 2,049.65 = 544.47 : x
  2. Step 2: Convert to fraction form
    1,366.20/2,049.65 = 544.47/x
  3. Step 3: Cross multiply
    1,366.20x = 2,049.65 × 544.47
  4. Step 4: Simplify right side
    1,366.20x = 1,115,970.21
  5. Step 5: Solve for x
    x = 1,115,970.21/1,366.20
  6. Step 6: Final answer
    x = 816.84

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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.