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Finding the Fourth Proportional to 1,191.44, 1,642.44 and 771.66

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Solution

The fourth proportional to 1,191.44, 1,642.44 and 771.66 is: 1,063.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.44 : 1,642.44 = 771.66 : x
  2. Step 2: Convert to fraction form
    1,191.44/1,642.44 = 771.66/x
  3. Step 3: Cross multiply
    1,191.44x = 1,642.44 × 771.66
  4. Step 4: Simplify right side
    1,191.44x = 1,267,408.14
  5. Step 5: Solve for x
    x = 1,267,408.14/1,191.44
  6. Step 6: Final answer
    x = 1,063.76

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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.