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Finding the Fourth Proportional to 1,096.01, 1,644.75 and 446.86

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Solution

The fourth proportional to 1,096.01, 1,644.75 and 446.86 is: 670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.01 : 1,644.75 = 446.86 : x
  2. Step 2: Convert to fraction form
    1,096.01/1,644.75 = 446.86/x
  3. Step 3: Cross multiply
    1,096.01x = 1,644.75 × 446.86
  4. Step 4: Simplify right side
    1,096.01x = 734,972.99
  5. Step 5: Solve for x
    x = 734,972.99/1,096.01
  6. Step 6: Final answer
    x = 670.59

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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.