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Finding the Fourth Proportional to 1,227, 1,693.25 and 729.63

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Solution

The fourth proportional to 1,227, 1,693.25 and 729.63 is: 1,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227 : 1,693.25 = 729.63 : x
  2. Step 2: Convert to fraction form
    1,227/1,693.25 = 729.63/x
  3. Step 3: Cross multiply
    1,227x = 1,693.25 × 729.63
  4. Step 4: Simplify right side
    1,227x = 1,235,440.54
  5. Step 5: Solve for x
    x = 1,235,440.54/1,227
  6. Step 6: Final answer
    x = 1,006.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.