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Finding the Fourth Proportional to 842.26, 1,261.25 and 704.96

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Solution

The fourth proportional to 842.26, 1,261.25 and 704.96 is: 1,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.26 : 1,261.25 = 704.96 : x
  2. Step 2: Convert to fraction form
    842.26/1,261.25 = 704.96/x
  3. Step 3: Cross multiply
    842.26x = 1,261.25 × 704.96
  4. Step 4: Simplify right side
    842.26x = 889,130.80
  5. Step 5: Solve for x
    x = 889,130.80/842.26
  6. Step 6: Final answer
    x = 1,055.65

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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.