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Finding the Fourth Proportional to 1,222.38, 1,833.77 and 400.47

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Solution

The fourth proportional to 1,222.38, 1,833.77 and 400.47 is: 600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.38 : 1,833.77 = 400.47 : x
  2. Step 2: Convert to fraction form
    1,222.38/1,833.77 = 400.47/x
  3. Step 3: Cross multiply
    1,222.38x = 1,833.77 × 400.47
  4. Step 4: Simplify right side
    1,222.38x = 734,367.87
  5. Step 5: Solve for x
    x = 734,367.87/1,222.38
  6. Step 6: Final answer
    x = 600.77

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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.