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Finding the Fourth Proportional to 1,231.86, 1,847.96 and 409.94

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Solution

The fourth proportional to 1,231.86, 1,847.96 and 409.94 is: 614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.86 : 1,847.96 = 409.94 : x
  2. Step 2: Convert to fraction form
    1,231.86/1,847.96 = 409.94/x
  3. Step 3: Cross multiply
    1,231.86x = 1,847.96 × 409.94
  4. Step 4: Simplify right side
    1,231.86x = 757,552.72
  5. Step 5: Solve for x
    x = 757,552.72/1,231.86
  6. Step 6: Final answer
    x = 614.97

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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.