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Finding the Fourth Proportional to 794.74, 1,191.48 and 361.39

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Solution

The fourth proportional to 794.74, 1,191.48 and 361.39 is: 541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.74 : 1,191.48 = 361.39 : x
  2. Step 2: Convert to fraction form
    794.74/1,191.48 = 361.39/x
  3. Step 3: Cross multiply
    794.74x = 1,191.48 × 361.39
  4. Step 4: Simplify right side
    794.74x = 430,588.96
  5. Step 5: Solve for x
    x = 430,588.96/794.74
  6. Step 6: Final answer
    x = 541.80

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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.