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Finding the Fourth Proportional to 1,408.10, 1,942.57 and 965.23

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Solution

The fourth proportional to 1,408.10, 1,942.57 and 965.23 is: 1,331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.10 : 1,942.57 = 965.23 : x
  2. Step 2: Convert to fraction form
    1,408.10/1,942.57 = 965.23/x
  3. Step 3: Cross multiply
    1,408.10x = 1,942.57 × 965.23
  4. Step 4: Simplify right side
    1,408.10x = 1,875,026.84
  5. Step 5: Solve for x
    x = 1,875,026.84/1,408.10
  6. Step 6: Final answer
    x = 1,331.60

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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.