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Finding the Fourth Proportional to 1,096.19, 1,644.46 and 365.93

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Solution

The fourth proportional to 1,096.19, 1,644.46 and 365.93 is: 548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.19 : 1,644.46 = 365.93 : x
  2. Step 2: Convert to fraction form
    1,096.19/1,644.46 = 365.93/x
  3. Step 3: Cross multiply
    1,096.19x = 1,644.46 × 365.93
  4. Step 4: Simplify right side
    1,096.19x = 601,757.25
  5. Step 5: Solve for x
    x = 601,757.25/1,096.19
  6. Step 6: Final answer
    x = 548.95

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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.