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Finding the Fourth Proportional to 853.86, 1,279.59 and 671.61

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Solution

The fourth proportional to 853.86, 1,279.59 and 671.61 is: 1,006.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.86 : 1,279.59 = 671.61 : x
  2. Step 2: Convert to fraction form
    853.86/1,279.59 = 671.61/x
  3. Step 3: Cross multiply
    853.86x = 1,279.59 × 671.61
  4. Step 4: Simplify right side
    853.86x = 859,385.44
  5. Step 5: Solve for x
    x = 859,385.44/853.86
  6. Step 6: Final answer
    x = 1,006.47

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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.