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Finding the Fourth Proportional to 1,096.82, 1,646.03 and 438.32

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Solution

The fourth proportional to 1,096.82, 1,646.03 and 438.32 is: 657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.82 : 1,646.03 = 438.32 : x
  2. Step 2: Convert to fraction form
    1,096.82/1,646.03 = 438.32/x
  3. Step 3: Cross multiply
    1,096.82x = 1,646.03 × 438.32
  4. Step 4: Simplify right side
    1,096.82x = 721,485.68
  5. Step 5: Solve for x
    x = 721,485.68/1,096.82
  6. Step 6: Final answer
    x = 657.80

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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.