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Finding the Fourth Proportional to 952.70, 1,427.70 and 836.60

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Solution

The fourth proportional to 952.70, 1,427.70 and 836.60 is: 1,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.70 : 1,427.70 = 836.60 : x
  2. Step 2: Convert to fraction form
    952.70/1,427.70 = 836.60/x
  3. Step 3: Cross multiply
    952.70x = 1,427.70 × 836.60
  4. Step 4: Simplify right side
    952.70x = 1,194,413.82
  5. Step 5: Solve for x
    x = 1,194,413.82/952.70
  6. Step 6: Final answer
    x = 1,253.71

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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.