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Finding the Fourth Proportional to 791.42, 1,093.37 and 632.25

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Solution

The fourth proportional to 791.42, 1,093.37 and 632.25 is: 873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.42 : 1,093.37 = 632.25 : x
  2. Step 2: Convert to fraction form
    791.42/1,093.37 = 632.25/x
  3. Step 3: Cross multiply
    791.42x = 1,093.37 × 632.25
  4. Step 4: Simplify right side
    791.42x = 691,280.02
  5. Step 5: Solve for x
    x = 691,280.02/791.42
  6. Step 6: Final answer
    x = 873.47

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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.