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Finding the Fourth Proportional to 1,231.41, 1,846.71 and 409.46

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Solution

The fourth proportional to 1,231.41, 1,846.71 and 409.46 is: 614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.41 : 1,846.71 = 409.46 : x
  2. Step 2: Convert to fraction form
    1,231.41/1,846.71 = 409.46/x
  3. Step 3: Cross multiply
    1,231.41x = 1,846.71 × 409.46
  4. Step 4: Simplify right side
    1,231.41x = 756,153.88
  5. Step 5: Solve for x
    x = 756,153.88/1,231.41
  6. Step 6: Final answer
    x = 614.06

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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.