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Finding the Fourth Proportional to 853.92, 1,177.99 and 605.37

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Solution

The fourth proportional to 853.92, 1,177.99 and 605.37 is: 835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.92 : 1,177.99 = 605.37 : x
  2. Step 2: Convert to fraction form
    853.92/1,177.99 = 605.37/x
  3. Step 3: Cross multiply
    853.92x = 1,177.99 × 605.37
  4. Step 4: Simplify right side
    853.92x = 713,119.81
  5. Step 5: Solve for x
    x = 713,119.81/853.92
  6. Step 6: Final answer
    x = 835.11

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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.