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Finding the Fourth Proportional to 1,096.63, 1,644.34 and 365.81

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Solution

The fourth proportional to 1,096.63, 1,644.34 and 365.81 is: 548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.63 : 1,644.34 = 365.81 : x
  2. Step 2: Convert to fraction form
    1,096.63/1,644.34 = 365.81/x
  3. Step 3: Cross multiply
    1,096.63x = 1,644.34 × 365.81
  4. Step 4: Simplify right side
    1,096.63x = 601,516.02
  5. Step 5: Solve for x
    x = 601,516.02/1,096.63
  6. Step 6: Final answer
    x = 548.51

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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.