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Finding the Fourth Proportional to 854.15, 1,279.70 and 622.54

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Solution

The fourth proportional to 854.15, 1,279.70 and 622.54 is: 932.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.15 : 1,279.70 = 622.54 : x
  2. Step 2: Convert to fraction form
    854.15/1,279.70 = 622.54/x
  3. Step 3: Cross multiply
    854.15x = 1,279.70 × 622.54
  4. Step 4: Simplify right side
    854.15x = 796,658.06
  5. Step 5: Solve for x
    x = 796,658.06/854.15
  6. Step 6: Final answer
    x = 932.70

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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.