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Finding the Fourth Proportional to 1,408.31, 1,941.66 and 965.44

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Solution

The fourth proportional to 1,408.31, 1,941.66 and 965.44 is: 1,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.31 : 1,941.66 = 965.44 : x
  2. Step 2: Convert to fraction form
    1,408.31/1,941.66 = 965.44/x
  3. Step 3: Cross multiply
    1,408.31x = 1,941.66 × 965.44
  4. Step 4: Simplify right side
    1,408.31x = 1,874,556.23
  5. Step 5: Solve for x
    x = 1,874,556.23/1,408.31
  6. Step 6: Final answer
    x = 1,331.07

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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.