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Finding the Fourth Proportional to 1,231.67, 1,846.67 and 409.86

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Solution

The fourth proportional to 1,231.67, 1,846.67 and 409.86 is: 614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.67 : 1,846.67 = 409.86 : x
  2. Step 2: Convert to fraction form
    1,231.67/1,846.67 = 409.86/x
  3. Step 3: Cross multiply
    1,231.67x = 1,846.67 × 409.86
  4. Step 4: Simplify right side
    1,231.67x = 756,874.12
  5. Step 5: Solve for x
    x = 756,874.12/1,231.67
  6. Step 6: Final answer
    x = 614.51

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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.