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Finding the Fourth Proportional to 1,096.68, 1,645.66 and 438.44

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Solution

The fourth proportional to 1,096.68, 1,645.66 and 438.44 is: 657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.68 : 1,645.66 = 438.44 : x
  2. Step 2: Convert to fraction form
    1,096.68/1,645.66 = 438.44/x
  3. Step 3: Cross multiply
    1,096.68x = 1,645.66 × 438.44
  4. Step 4: Simplify right side
    1,096.68x = 721,523.17
  5. Step 5: Solve for x
    x = 721,523.17/1,096.68
  6. Step 6: Final answer
    x = 657.92

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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.