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Finding the Fourth Proportional to 857.21, 1,183.11 and 484.19

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Solution

The fourth proportional to 857.21, 1,183.11 and 484.19 is: 668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.21 : 1,183.11 = 484.19 : x
  2. Step 2: Convert to fraction form
    857.21/1,183.11 = 484.19/x
  3. Step 3: Cross multiply
    857.21x = 1,183.11 × 484.19
  4. Step 4: Simplify right side
    857.21x = 572,850.37
  5. Step 5: Solve for x
    x = 572,850.37/857.21
  6. Step 6: Final answer
    x = 668.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.