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Finding the Fourth Proportional to 1,222.54, 1,833.82 and 400.82

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Solution

The fourth proportional to 1,222.54, 1,833.82 and 400.82 is: 601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.54 : 1,833.82 = 400.82 : x
  2. Step 2: Convert to fraction form
    1,222.54/1,833.82 = 400.82/x
  3. Step 3: Cross multiply
    1,222.54x = 1,833.82 × 400.82
  4. Step 4: Simplify right side
    1,222.54x = 735,031.73
  5. Step 5: Solve for x
    x = 735,031.73/1,222.54
  6. Step 6: Final answer
    x = 601.23

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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.