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Finding the Fourth Proportional to 1,096.48, 1,644.36 and 365.84

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Solution

The fourth proportional to 1,096.48, 1,644.36 and 365.84 is: 548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.48 : 1,644.36 = 365.84 : x
  2. Step 2: Convert to fraction form
    1,096.48/1,644.36 = 365.84/x
  3. Step 3: Cross multiply
    1,096.48x = 1,644.36 × 365.84
  4. Step 4: Simplify right side
    1,096.48x = 601,572.66
  5. Step 5: Solve for x
    x = 601,572.66/1,096.48
  6. Step 6: Final answer
    x = 548.64

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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.