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Finding the Fourth Proportional to 1,103.56, 1,522.89 and 606.20

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Solution

The fourth proportional to 1,103.56, 1,522.89 and 606.20 is: 836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.56 : 1,522.89 = 606.20 : x
  2. Step 2: Convert to fraction form
    1,103.56/1,522.89 = 606.20/x
  3. Step 3: Cross multiply
    1,103.56x = 1,522.89 × 606.20
  4. Step 4: Simplify right side
    1,103.56x = 923,168.30
  5. Step 5: Solve for x
    x = 923,168.30/1,103.56
  6. Step 6: Final answer
    x = 836.54

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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.