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Finding the Fourth Proportional to 1,096, 1,512.16 and 653.68

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Solution

The fourth proportional to 1,096, 1,512.16 and 653.68 is: 901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096 : 1,512.16 = 653.68 : x
  2. Step 2: Convert to fraction form
    1,096/1,512.16 = 653.68/x
  3. Step 3: Cross multiply
    1,096x = 1,512.16 × 653.68
  4. Step 4: Simplify right side
    1,096x = 988,468.75
  5. Step 5: Solve for x
    x = 988,468.75/1,096
  6. Step 6: Final answer
    x = 901.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.