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Finding the Fourth Proportional to 1,096.94, 1,645.41 and 447.73

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Solution

The fourth proportional to 1,096.94, 1,645.41 and 447.73 is: 671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.94 : 1,645.41 = 447.73 : x
  2. Step 2: Convert to fraction form
    1,096.94/1,645.41 = 447.73/x
  3. Step 3: Cross multiply
    1,096.94x = 1,645.41 × 447.73
  4. Step 4: Simplify right side
    1,096.94x = 736,699.42
  5. Step 5: Solve for x
    x = 736,699.42/1,096.94
  6. Step 6: Final answer
    x = 671.60

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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.