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Finding the Fourth Proportional to 1,103.33, 1,522.05 and 660.94

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Solution

The fourth proportional to 1,103.33, 1,522.05 and 660.94 is: 911.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.33 : 1,522.05 = 660.94 : x
  2. Step 2: Convert to fraction form
    1,103.33/1,522.05 = 660.94/x
  3. Step 3: Cross multiply
    1,103.33x = 1,522.05 × 660.94
  4. Step 4: Simplify right side
    1,103.33x = 1,005,983.73
  5. Step 5: Solve for x
    x = 1,005,983.73/1,103.33
  6. Step 6: Final answer
    x = 911.77

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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.