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Finding the Fourth Proportional to 1,222.02, 1,832.63 and 400.07

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Solution

The fourth proportional to 1,222.02, 1,832.63 and 400.07 is: 599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.02 : 1,832.63 = 400.07 : x
  2. Step 2: Convert to fraction form
    1,222.02/1,832.63 = 400.07/x
  3. Step 3: Cross multiply
    1,222.02x = 1,832.63 × 400.07
  4. Step 4: Simplify right side
    1,222.02x = 733,180.28
  5. Step 5: Solve for x
    x = 733,180.28/1,222.02
  6. Step 6: Final answer
    x = 599.97

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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.