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Finding the Fourth Proportional to 1,103.24, 1,524.48 and 884

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Solution

The fourth proportional to 1,103.24, 1,524.48 and 884 is: 1,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.24 : 1,524.48 = 884 : x
  2. Step 2: Convert to fraction form
    1,103.24/1,524.48 = 884/x
  3. Step 3: Cross multiply
    1,103.24x = 1,524.48 × 884
  4. Step 4: Simplify right side
    1,103.24x = 1,347,640.32
  5. Step 5: Solve for x
    x = 1,347,640.32/1,103.24
  6. Step 6: Final answer
    x = 1,221.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.