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Finding the Fourth Proportional to 857.96, 1,183.46 and 546.92

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Solution

The fourth proportional to 857.96, 1,183.46 and 546.92 is: 754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.96 : 1,183.46 = 546.92 : x
  2. Step 2: Convert to fraction form
    857.96/1,183.46 = 546.92/x
  3. Step 3: Cross multiply
    857.96x = 1,183.46 × 546.92
  4. Step 4: Simplify right side
    857.96x = 647,257.94
  5. Step 5: Solve for x
    x = 647,257.94/857.96
  6. Step 6: Final answer
    x = 754.42

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Double scale
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1.5x scale

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.