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Finding the Fourth Proportional to 1,229.80, 1,843.58 and 613.69

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Solution

The fourth proportional to 1,229.80, 1,843.58 and 613.69 is: 919.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.80 : 1,843.58 = 613.69 : x
  2. Step 2: Convert to fraction form
    1,229.80/1,843.58 = 613.69/x
  3. Step 3: Cross multiply
    1,229.80x = 1,843.58 × 613.69
  4. Step 4: Simplify right side
    1,229.80x = 1,131,392.75
  5. Step 5: Solve for x
    x = 1,131,392.75/1,229.80
  6. Step 6: Final answer
    x = 919.98

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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.