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Finding the Fourth Proportional to 888.03, 1,224.99 and 825.48

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Solution

The fourth proportional to 888.03, 1,224.99 and 825.48 is: 1,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.03 : 1,224.99 = 825.48 : x
  2. Step 2: Convert to fraction form
    888.03/1,224.99 = 825.48/x
  3. Step 3: Cross multiply
    888.03x = 1,224.99 × 825.48
  4. Step 4: Simplify right side
    888.03x = 1,011,204.75
  5. Step 5: Solve for x
    x = 1,011,204.75/888.03
  6. Step 6: Final answer
    x = 1,138.71

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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.