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Finding the Fourth Proportional to 857.73, 1,183.41 and 526.08

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Solution

The fourth proportional to 857.73, 1,183.41 and 526.08 is: 725.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.73 : 1,183.41 = 526.08 : x
  2. Step 2: Convert to fraction form
    857.73/1,183.41 = 526.08/x
  3. Step 3: Cross multiply
    857.73x = 1,183.41 × 526.08
  4. Step 4: Simplify right side
    857.73x = 622,568.33
  5. Step 5: Solve for x
    x = 622,568.33/857.73
  6. Step 6: Final answer
    x = 725.83

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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.