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Finding the Fourth Proportional to 1,096.33, 1,644.45 and 365.71

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Solution

The fourth proportional to 1,096.33, 1,644.45 and 365.71 is: 548.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.33 : 1,644.45 = 365.71 : x
  2. Step 2: Convert to fraction form
    1,096.33/1,644.45 = 365.71/x
  3. Step 3: Cross multiply
    1,096.33x = 1,644.45 × 365.71
  4. Step 4: Simplify right side
    1,096.33x = 601,391.81
  5. Step 5: Solve for x
    x = 601,391.81/1,096.33
  6. Step 6: Final answer
    x = 548.55

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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.