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Finding the Fourth Proportional to 1,229.76, 1,843.46 and 535.80

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Solution

The fourth proportional to 1,229.76, 1,843.46 and 535.80 is: 803.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.76 : 1,843.46 = 535.80 : x
  2. Step 2: Convert to fraction form
    1,229.76/1,843.46 = 535.80/x
  3. Step 3: Cross multiply
    1,229.76x = 1,843.46 × 535.80
  4. Step 4: Simplify right side
    1,229.76x = 987,725.87
  5. Step 5: Solve for x
    x = 987,725.87/1,229.76
  6. Step 6: Final answer
    x = 803.19

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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.