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Finding the Fourth Proportional to 931.01, 1,394.10 and 791.82

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Solution

The fourth proportional to 931.01, 1,394.10 and 791.82 is: 1,185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.01 : 1,394.10 = 791.82 : x
  2. Step 2: Convert to fraction form
    931.01/1,394.10 = 791.82/x
  3. Step 3: Cross multiply
    931.01x = 1,394.10 × 791.82
  4. Step 4: Simplify right side
    931.01x = 1,103,876.26
  5. Step 5: Solve for x
    x = 1,103,876.26/931.01
  6. Step 6: Final answer
    x = 1,185.68

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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.