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Finding the Fourth Proportional to 1,769.77, 2,652.46 and 729.12

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Solution

The fourth proportional to 1,769.77, 2,652.46 and 729.12 is: 1,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.77 : 2,652.46 = 729.12 : x
  2. Step 2: Convert to fraction form
    1,769.77/2,652.46 = 729.12/x
  3. Step 3: Cross multiply
    1,769.77x = 2,652.46 × 729.12
  4. Step 4: Simplify right side
    1,769.77x = 1,933,961.64
  5. Step 5: Solve for x
    x = 1,933,961.64/1,769.77
  6. Step 6: Final answer
    x = 1,092.78

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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.