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Finding the Fourth Proportional to 1,096.46, 1,640.56 and 656.09

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Solution

The fourth proportional to 1,096.46, 1,640.56 and 656.09 is: 981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.46 : 1,640.56 = 656.09 : x
  2. Step 2: Convert to fraction form
    1,096.46/1,640.56 = 656.09/x
  3. Step 3: Cross multiply
    1,096.46x = 1,640.56 × 656.09
  4. Step 4: Simplify right side
    1,096.46x = 1,076,355.01
  5. Step 5: Solve for x
    x = 1,076,355.01/1,096.46
  6. Step 6: Final answer
    x = 981.66

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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.