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Finding the Fourth Proportional to 1,392.82, 1,922.09 and 771.82

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Solution

The fourth proportional to 1,392.82, 1,922.09 and 771.82 is: 1,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.82 : 1,922.09 = 771.82 : x
  2. Step 2: Convert to fraction form
    1,392.82/1,922.09 = 771.82/x
  3. Step 3: Cross multiply
    1,392.82x = 1,922.09 × 771.82
  4. Step 4: Simplify right side
    1,392.82x = 1,483,507.50
  5. Step 5: Solve for x
    x = 1,483,507.50/1,392.82
  6. Step 6: Final answer
    x = 1,065.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.