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Finding the Fourth Proportional to 1,201.50, 1,799.76 and 552.69

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Solution

The fourth proportional to 1,201.50, 1,799.76 and 552.69 is: 827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.50 : 1,799.76 = 552.69 : x
  2. Step 2: Convert to fraction form
    1,201.50/1,799.76 = 552.69/x
  3. Step 3: Cross multiply
    1,201.50x = 1,799.76 × 552.69
  4. Step 4: Simplify right side
    1,201.50x = 994,709.35
  5. Step 5: Solve for x
    x = 994,709.35/1,201.50
  6. Step 6: Final answer
    x = 827.89

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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.