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Finding the Fourth Proportional to 1,096.22, 1,644.32 and 446.84

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Solution

The fourth proportional to 1,096.22, 1,644.32 and 446.84 is: 670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.22 : 1,644.32 = 446.84 : x
  2. Step 2: Convert to fraction form
    1,096.22/1,644.32 = 446.84/x
  3. Step 3: Cross multiply
    1,096.22x = 1,644.32 × 446.84
  4. Step 4: Simplify right side
    1,096.22x = 734,740.84
  5. Step 5: Solve for x
    x = 734,740.84/1,096.22
  6. Step 6: Final answer
    x = 670.25

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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.