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Finding the Fourth Proportional to 853.97, 1,281.39 and 415.61

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Solution

The fourth proportional to 853.97, 1,281.39 and 415.61 is: 623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.97 : 1,281.39 = 415.61 : x
  2. Step 2: Convert to fraction form
    853.97/1,281.39 = 415.61/x
  3. Step 3: Cross multiply
    853.97x = 1,281.39 × 415.61
  4. Step 4: Simplify right side
    853.97x = 532,558.50
  5. Step 5: Solve for x
    x = 532,558.50/853.97
  6. Step 6: Final answer
    x = 623.63

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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.