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Finding the Fourth Proportional to 965.38, 1,446.65 and 825.73

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Solution

The fourth proportional to 965.38, 1,446.65 and 825.73 is: 1,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.38 : 1,446.65 = 825.73 : x
  2. Step 2: Convert to fraction form
    965.38/1,446.65 = 825.73/x
  3. Step 3: Cross multiply
    965.38x = 1,446.65 × 825.73
  4. Step 4: Simplify right side
    965.38x = 1,194,543.08
  5. Step 5: Solve for x
    x = 1,194,543.08/965.38
  6. Step 6: Final answer
    x = 1,237.38

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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.