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Finding the Fourth Proportional to 857.97, 1,183.98 and 484.95

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Solution

The fourth proportional to 857.97, 1,183.98 and 484.95 is: 669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.97 : 1,183.98 = 484.95 : x
  2. Step 2: Convert to fraction form
    857.97/1,183.98 = 484.95/x
  3. Step 3: Cross multiply
    857.97x = 1,183.98 × 484.95
  4. Step 4: Simplify right side
    857.97x = 574,171.10
  5. Step 5: Solve for x
    x = 574,171.10/857.97
  6. Step 6: Final answer
    x = 669.22

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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.