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Finding the Fourth Proportional to 1,408.72, 1,944.86 and 967.27

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Solution

The fourth proportional to 1,408.72, 1,944.86 and 967.27 is: 1,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.72 : 1,944.86 = 967.27 : x
  2. Step 2: Convert to fraction form
    1,408.72/1,944.86 = 967.27/x
  3. Step 3: Cross multiply
    1,408.72x = 1,944.86 × 967.27
  4. Step 4: Simplify right side
    1,408.72x = 1,881,204.73
  5. Step 5: Solve for x
    x = 1,881,204.73/1,408.72
  6. Step 6: Final answer
    x = 1,335.40

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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.