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Finding the Fourth Proportional to 791.51, 1,185.84 and 425.45

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Solution

The fourth proportional to 791.51, 1,185.84 and 425.45 is: 637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.51 : 1,185.84 = 425.45 : x
  2. Step 2: Convert to fraction form
    791.51/1,185.84 = 425.45/x
  3. Step 3: Cross multiply
    791.51x = 1,185.84 × 425.45
  4. Step 4: Simplify right side
    791.51x = 504,518.59
  5. Step 5: Solve for x
    x = 504,518.59/791.51
  6. Step 6: Final answer
    x = 637.42

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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.