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Finding the Fourth Proportional to 965.57, 1,448.55 and 938.84

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Solution

The fourth proportional to 965.57, 1,448.55 and 938.84 is: 1,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.57 : 1,448.55 = 938.84 : x
  2. Step 2: Convert to fraction form
    965.57/1,448.55 = 938.84/x
  3. Step 3: Cross multiply
    965.57x = 1,448.55 × 938.84
  4. Step 4: Simplify right side
    965.57x = 1,359,949.44
  5. Step 5: Solve for x
    x = 1,359,949.44/965.57
  6. Step 6: Final answer
    x = 1,408.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.