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Finding the Fourth Proportional to 857.23, 1,183.04 and 484.08

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Solution

The fourth proportional to 857.23, 1,183.04 and 484.08 is: 668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.23 : 1,183.04 = 484.08 : x
  2. Step 2: Convert to fraction form
    857.23/1,183.04 = 484.08/x
  3. Step 3: Cross multiply
    857.23x = 1,183.04 × 484.08
  4. Step 4: Simplify right side
    857.23x = 572,680.96
  5. Step 5: Solve for x
    x = 572,680.96/857.23
  6. Step 6: Final answer
    x = 668.06

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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.