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Finding the Fourth Proportional to 857.49, 1,183.31 and 484.52

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Solution

The fourth proportional to 857.49, 1,183.31 and 484.52 is: 668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.49 : 1,183.31 = 484.52 : x
  2. Step 2: Convert to fraction form
    857.49/1,183.31 = 484.52/x
  3. Step 3: Cross multiply
    857.49x = 1,183.31 × 484.52
  4. Step 4: Simplify right side
    857.49x = 573,331.44
  5. Step 5: Solve for x
    x = 573,331.44/857.49
  6. Step 6: Final answer
    x = 668.62

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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.