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Finding the Fourth Proportional to 1,400.27, 1,932.43 and 770.83

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Solution

The fourth proportional to 1,400.27, 1,932.43 and 770.83 is: 1,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.27 : 1,932.43 = 770.83 : x
  2. Step 2: Convert to fraction form
    1,400.27/1,932.43 = 770.83/x
  3. Step 3: Cross multiply
    1,400.27x = 1,932.43 × 770.83
  4. Step 4: Simplify right side
    1,400.27x = 1,489,571.16
  5. Step 5: Solve for x
    x = 1,489,571.16/1,400.27
  6. Step 6: Final answer
    x = 1,063.77

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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.