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Finding the Fourth Proportional to 1,096.96, 1,644.40 and 480.16

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Solution

The fourth proportional to 1,096.96, 1,644.40 and 480.16 is: 719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.96 : 1,644.40 = 480.16 : x
  2. Step 2: Convert to fraction form
    1,096.96/1,644.40 = 480.16/x
  3. Step 3: Cross multiply
    1,096.96x = 1,644.40 × 480.16
  4. Step 4: Simplify right side
    1,096.96x = 789,575.10
  5. Step 5: Solve for x
    x = 789,575.10/1,096.96
  6. Step 6: Final answer
    x = 719.78

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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.