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Finding the Fourth Proportional to 1,096.14, 1,644.48 and 365.75

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Solution

The fourth proportional to 1,096.14, 1,644.48 and 365.75 is: 548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.14 : 1,644.48 = 365.75 : x
  2. Step 2: Convert to fraction form
    1,096.14/1,644.48 = 365.75/x
  3. Step 3: Cross multiply
    1,096.14x = 1,644.48 × 365.75
  4. Step 4: Simplify right side
    1,096.14x = 601,460.34
  5. Step 5: Solve for x
    x = 601,460.34/1,096.14
  6. Step 6: Final answer
    x = 548.71

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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.