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Finding the Fourth Proportional to 1,096.24, 1,644.34 and 446.82

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Solution

The fourth proportional to 1,096.24, 1,644.34 and 446.82 is: 670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.24 : 1,644.34 = 446.82 : x
  2. Step 2: Convert to fraction form
    1,096.24/1,644.34 = 446.82/x
  3. Step 3: Cross multiply
    1,096.24x = 1,644.34 × 446.82
  4. Step 4: Simplify right side
    1,096.24x = 734,724.00
  5. Step 5: Solve for x
    x = 734,724.00/1,096.24
  6. Step 6: Final answer
    x = 670.22

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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.