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Finding the Fourth Proportional to 1,103.24, 1,521.89 and 683.46

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Solution

The fourth proportional to 1,103.24, 1,521.89 and 683.46 is: 942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.24 : 1,521.89 = 683.46 : x
  2. Step 2: Convert to fraction form
    1,103.24/1,521.89 = 683.46/x
  3. Step 3: Cross multiply
    1,103.24x = 1,521.89 × 683.46
  4. Step 4: Simplify right side
    1,103.24x = 1,040,147.52
  5. Step 5: Solve for x
    x = 1,040,147.52/1,103.24
  6. Step 6: Final answer
    x = 942.81

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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.