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Finding the Fourth Proportional to 1,096.58, 1,645.90 and 447.37

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Solution

The fourth proportional to 1,096.58, 1,645.90 and 447.37 is: 671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.58 : 1,645.90 = 447.37 : x
  2. Step 2: Convert to fraction form
    1,096.58/1,645.90 = 447.37/x
  3. Step 3: Cross multiply
    1,096.58x = 1,645.90 × 447.37
  4. Step 4: Simplify right side
    1,096.58x = 736,321.05
  5. Step 5: Solve for x
    x = 736,321.05/1,096.58
  6. Step 6: Final answer
    x = 671.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.