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Finding the Fourth Proportional to 1,231.66, 1,847.24 and 409.78

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Solution

The fourth proportional to 1,231.66, 1,847.24 and 409.78 is: 614.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.66 : 1,847.24 = 409.78 : x
  2. Step 2: Convert to fraction form
    1,231.66/1,847.24 = 409.78/x
  3. Step 3: Cross multiply
    1,231.66x = 1,847.24 × 409.78
  4. Step 4: Simplify right side
    1,231.66x = 756,962.01
  5. Step 5: Solve for x
    x = 756,962.01/1,231.66
  6. Step 6: Final answer
    x = 614.59

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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.