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Finding the Fourth Proportional to 1,219.86, 1,827.66 and 809.80

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Solution

The fourth proportional to 1,219.86, 1,827.66 and 809.80 is: 1,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.86 : 1,827.66 = 809.80 : x
  2. Step 2: Convert to fraction form
    1,219.86/1,827.66 = 809.80/x
  3. Step 3: Cross multiply
    1,219.86x = 1,827.66 × 809.80
  4. Step 4: Simplify right side
    1,219.86x = 1,480,037.54
  5. Step 5: Solve for x
    x = 1,480,037.54/1,219.86
  6. Step 6: Final answer
    x = 1,213.28

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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.