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Finding the Fourth Proportional to 857.43, 1,183.47 and 546.75

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Solution

The fourth proportional to 857.43, 1,183.47 and 546.75 is: 754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.43 : 1,183.47 = 546.75 : x
  2. Step 2: Convert to fraction form
    857.43/1,183.47 = 546.75/x
  3. Step 3: Cross multiply
    857.43x = 1,183.47 × 546.75
  4. Step 4: Simplify right side
    857.43x = 647,062.22
  5. Step 5: Solve for x
    x = 647,062.22/857.43
  6. Step 6: Final answer
    x = 754.65

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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.