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Finding the Fourth Proportional to 857.44, 1,183.20 and 484.45

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Solution

The fourth proportional to 857.44, 1,183.20 and 484.45 is: 668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.44 : 1,183.20 = 484.45 : x
  2. Step 2: Convert to fraction form
    857.44/1,183.20 = 484.45/x
  3. Step 3: Cross multiply
    857.44x = 1,183.20 × 484.45
  4. Step 4: Simplify right side
    857.44x = 573,203.12
  5. Step 5: Solve for x
    x = 573,203.12/857.44
  6. Step 6: Final answer
    x = 668.51

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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.