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Finding the Fourth Proportional to 1,096.94, 1,644.40 and 439.26

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Solution

The fourth proportional to 1,096.94, 1,644.40 and 439.26 is: 658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.94 : 1,644.40 = 439.26 : x
  2. Step 2: Convert to fraction form
    1,096.94/1,644.40 = 439.26/x
  3. Step 3: Cross multiply
    1,096.94x = 1,644.40 × 439.26
  4. Step 4: Simplify right side
    1,096.94x = 722,313.53
  5. Step 5: Solve for x
    x = 722,313.53/1,096.94
  6. Step 6: Final answer
    x = 658.48

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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.