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Finding the Fourth Proportional to 1,096.32, 1,643.86 and 446.29

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Solution

The fourth proportional to 1,096.32, 1,643.86 and 446.29 is: 669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.32 : 1,643.86 = 446.29 : x
  2. Step 2: Convert to fraction form
    1,096.32/1,643.86 = 446.29/x
  3. Step 3: Cross multiply
    1,096.32x = 1,643.86 × 446.29
  4. Step 4: Simplify right side
    1,096.32x = 733,638.28
  5. Step 5: Solve for x
    x = 733,638.28/1,096.32
  6. Step 6: Final answer
    x = 669.18

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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.