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Finding the Fourth Proportional to 1,222.36, 1,833.83 and 400.63

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Solution

The fourth proportional to 1,222.36, 1,833.83 and 400.63 is: 601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.36 : 1,833.83 = 400.63 : x
  2. Step 2: Convert to fraction form
    1,222.36/1,833.83 = 400.63/x
  3. Step 3: Cross multiply
    1,222.36x = 1,833.83 × 400.63
  4. Step 4: Simplify right side
    1,222.36x = 734,687.31
  5. Step 5: Solve for x
    x = 734,687.31/1,222.36
  6. Step 6: Final answer
    x = 601.04

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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.