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Finding the Fourth Proportional to 1,425.89, 1,967.57 and 796.29

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Solution

The fourth proportional to 1,425.89, 1,967.57 and 796.29 is: 1,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.89 : 1,967.57 = 796.29 : x
  2. Step 2: Convert to fraction form
    1,425.89/1,967.57 = 796.29/x
  3. Step 3: Cross multiply
    1,425.89x = 1,967.57 × 796.29
  4. Step 4: Simplify right side
    1,425.89x = 1,566,752.33
  5. Step 5: Solve for x
    x = 1,566,752.33/1,425.89
  6. Step 6: Final answer
    x = 1,098.79

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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.