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Finding the Fourth Proportional to 1,552.38, 2,327.49 and 729.96

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Solution

The fourth proportional to 1,552.38, 2,327.49 and 729.96 is: 1,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.38 : 2,327.49 = 729.96 : x
  2. Step 2: Convert to fraction form
    1,552.38/2,327.49 = 729.96/x
  3. Step 3: Cross multiply
    1,552.38x = 2,327.49 × 729.96
  4. Step 4: Simplify right side
    1,552.38x = 1,698,974.60
  5. Step 5: Solve for x
    x = 1,698,974.60/1,552.38
  6. Step 6: Final answer
    x = 1,094.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.