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Finding the Fourth Proportional to 1,096.47, 1,644.62 and 365.85

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Solution

The fourth proportional to 1,096.47, 1,644.62 and 365.85 is: 548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.47 : 1,644.62 = 365.85 : x
  2. Step 2: Convert to fraction form
    1,096.47/1,644.62 = 365.85/x
  3. Step 3: Cross multiply
    1,096.47x = 1,644.62 × 365.85
  4. Step 4: Simplify right side
    1,096.47x = 601,682.40
  5. Step 5: Solve for x
    x = 601,682.40/1,096.47
  6. Step 6: Final answer
    x = 548.74

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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.