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Finding the Fourth Proportional to 858.20, 1,183.92 and 543.86

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Solution

The fourth proportional to 858.20, 1,183.92 and 543.86 is: 750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.20 : 1,183.92 = 543.86 : x
  2. Step 2: Convert to fraction form
    858.20/1,183.92 = 543.86/x
  3. Step 3: Cross multiply
    858.20x = 1,183.92 × 543.86
  4. Step 4: Simplify right side
    858.20x = 643,886.73
  5. Step 5: Solve for x
    x = 643,886.73/858.20
  6. Step 6: Final answer
    x = 750.28

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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.