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Finding the Fourth Proportional to 1,222.09, 1,832.95 and 400.36

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Solution

The fourth proportional to 1,222.09, 1,832.95 and 400.36 is: 600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.09 : 1,832.95 = 400.36 : x
  2. Step 2: Convert to fraction form
    1,222.09/1,832.95 = 400.36/x
  3. Step 3: Cross multiply
    1,222.09x = 1,832.95 × 400.36
  4. Step 4: Simplify right side
    1,222.09x = 733,836.96
  5. Step 5: Solve for x
    x = 733,836.96/1,222.09
  6. Step 6: Final answer
    x = 600.48

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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.