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Finding the Fourth Proportional to 1,222.23, 1,833.16 and 400.53

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Solution

The fourth proportional to 1,222.23, 1,833.16 and 400.53 is: 600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.23 : 1,833.16 = 400.53 : x
  2. Step 2: Convert to fraction form
    1,222.23/1,833.16 = 400.53/x
  3. Step 3: Cross multiply
    1,222.23x = 1,833.16 × 400.53
  4. Step 4: Simplify right side
    1,222.23x = 734,235.57
  5. Step 5: Solve for x
    x = 734,235.57/1,222.23
  6. Step 6: Final answer
    x = 600.73

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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.