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Finding the Fourth Proportional to 796.99, 1,194.76 and 283.87

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Solution

The fourth proportional to 796.99, 1,194.76 and 283.87 is: 425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.99 : 1,194.76 = 283.87 : x
  2. Step 2: Convert to fraction form
    796.99/1,194.76 = 283.87/x
  3. Step 3: Cross multiply
    796.99x = 1,194.76 × 283.87
  4. Step 4: Simplify right side
    796.99x = 339,149.84
  5. Step 5: Solve for x
    x = 339,149.84/796.99
  6. Step 6: Final answer
    x = 425.54

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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.