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Finding the Fourth Proportional to 851.73, 1,279.71 and 543.71

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Solution

The fourth proportional to 851.73, 1,279.71 and 543.71 is: 816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.73 : 1,279.71 = 543.71 : x
  2. Step 2: Convert to fraction form
    851.73/1,279.71 = 543.71/x
  3. Step 3: Cross multiply
    851.73x = 1,279.71 × 543.71
  4. Step 4: Simplify right side
    851.73x = 695,784.73
  5. Step 5: Solve for x
    x = 695,784.73/851.73
  6. Step 6: Final answer
    x = 816.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.