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Finding the Fourth Proportional to 853.81, 1,177.66 and 825.22

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Solution

The fourth proportional to 853.81, 1,177.66 and 825.22 is: 1,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.81 : 1,177.66 = 825.22 : x
  2. Step 2: Convert to fraction form
    853.81/1,177.66 = 825.22/x
  3. Step 3: Cross multiply
    853.81x = 1,177.66 × 825.22
  4. Step 4: Simplify right side
    853.81x = 971,826.45
  5. Step 5: Solve for x
    x = 971,826.45/853.81
  6. Step 6: Final answer
    x = 1,138.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.