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Finding the Fourth Proportional to 830.44, 1,245.68 and 759.97

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Solution

The fourth proportional to 830.44, 1,245.68 and 759.97 is: 1,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.44 : 1,245.68 = 759.97 : x
  2. Step 2: Convert to fraction form
    830.44/1,245.68 = 759.97/x
  3. Step 3: Cross multiply
    830.44x = 1,245.68 × 759.97
  4. Step 4: Simplify right side
    830.44x = 946,669.40
  5. Step 5: Solve for x
    x = 946,669.40/830.44
  6. Step 6: Final answer
    x = 1,139.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.