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Finding the Fourth Proportional to 853.22, 1,278.62 and 657.48

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Solution

The fourth proportional to 853.22, 1,278.62 and 657.48 is: 985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.22 : 1,278.62 = 657.48 : x
  2. Step 2: Convert to fraction form
    853.22/1,278.62 = 657.48/x
  3. Step 3: Cross multiply
    853.22x = 1,278.62 × 657.48
  4. Step 4: Simplify right side
    853.22x = 840,667.08
  5. Step 5: Solve for x
    x = 840,667.08/853.22
  6. Step 6: Final answer
    x = 985.29

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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.