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Finding the Fourth Proportional to 1,103.62, 1,522.96 and 606.25

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Solution

The fourth proportional to 1,103.62, 1,522.96 and 606.25 is: 836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.62 : 1,522.96 = 606.25 : x
  2. Step 2: Convert to fraction form
    1,103.62/1,522.96 = 606.25/x
  3. Step 3: Cross multiply
    1,103.62x = 1,522.96 × 606.25
  4. Step 4: Simplify right side
    1,103.62x = 923,294.50
  5. Step 5: Solve for x
    x = 923,294.50/1,103.62
  6. Step 6: Final answer
    x = 836.61

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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.