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Finding the Fourth Proportional to 1,231.29, 1,846.49 and 409.32

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Solution

The fourth proportional to 1,231.29, 1,846.49 and 409.32 is: 613.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.29 : 1,846.49 = 409.32 : x
  2. Step 2: Convert to fraction form
    1,231.29/1,846.49 = 409.32/x
  3. Step 3: Cross multiply
    1,231.29x = 1,846.49 × 409.32
  4. Step 4: Simplify right side
    1,231.29x = 755,803.24
  5. Step 5: Solve for x
    x = 755,803.24/1,231.29
  6. Step 6: Final answer
    x = 613.83

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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.