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Finding the Fourth Proportional to 1,103.36, 1,522.08 and 748.85

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Solution

The fourth proportional to 1,103.36, 1,522.08 and 748.85 is: 1,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.36 : 1,522.08 = 748.85 : x
  2. Step 2: Convert to fraction form
    1,103.36/1,522.08 = 748.85/x
  3. Step 3: Cross multiply
    1,103.36x = 1,522.08 × 748.85
  4. Step 4: Simplify right side
    1,103.36x = 1,139,813.41
  5. Step 5: Solve for x
    x = 1,139,813.41/1,103.36
  6. Step 6: Final answer
    x = 1,033.04

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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.