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Finding the Fourth Proportional to 825.00, 1,138.44 and 484.43

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Solution

The fourth proportional to 825.00, 1,138.44 and 484.43 is: 668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.00 : 1,138.44 = 484.43 : x
  2. Step 2: Convert to fraction form
    825.00/1,138.44 = 484.43/x
  3. Step 3: Cross multiply
    825.00x = 1,138.44 × 484.43
  4. Step 4: Simplify right side
    825.00x = 551,487.89
  5. Step 5: Solve for x
    x = 551,487.89/825.00
  6. Step 6: Final answer
    x = 668.47

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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.