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Finding the Fourth Proportional to 1,096.84, 1,644.42 and 447.16

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Solution

The fourth proportional to 1,096.84, 1,644.42 and 447.16 is: 670.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.84 : 1,644.42 = 447.16 : x
  2. Step 2: Convert to fraction form
    1,096.84/1,644.42 = 447.16/x
  3. Step 3: Cross multiply
    1,096.84x = 1,644.42 × 447.16
  4. Step 4: Simplify right side
    1,096.84x = 735,318.85
  5. Step 5: Solve for x
    x = 735,318.85/1,096.84
  6. Step 6: Final answer
    x = 670.40

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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.