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Finding the Fourth Proportional to 1,222.46, 1,832.38 and 400.51

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Solution

The fourth proportional to 1,222.46, 1,832.38 and 400.51 is: 600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.46 : 1,832.38 = 400.51 : x
  2. Step 2: Convert to fraction form
    1,222.46/1,832.38 = 400.51/x
  3. Step 3: Cross multiply
    1,222.46x = 1,832.38 × 400.51
  4. Step 4: Simplify right side
    1,222.46x = 733,880.93
  5. Step 5: Solve for x
    x = 733,880.93/1,222.46
  6. Step 6: Final answer
    x = 600.33

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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.