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Finding the Fourth Proportional to 1,096.12, 1,644.08 and 446.80

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Solution

The fourth proportional to 1,096.12, 1,644.08 and 446.80 is: 670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.12 : 1,644.08 = 446.80 : x
  2. Step 2: Convert to fraction form
    1,096.12/1,644.08 = 446.80/x
  3. Step 3: Cross multiply
    1,096.12x = 1,644.08 × 446.80
  4. Step 4: Simplify right side
    1,096.12x = 734,574.94
  5. Step 5: Solve for x
    x = 734,574.94/1,096.12
  6. Step 6: Final answer
    x = 670.16

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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.