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Finding the Fourth Proportional to 793.91, 1,191.06 and 361.10

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Solution

The fourth proportional to 793.91, 1,191.06 and 361.10 is: 541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.91 : 1,191.06 = 361.10 : x
  2. Step 2: Convert to fraction form
    793.91/1,191.06 = 361.10/x
  3. Step 3: Cross multiply
    793.91x = 1,191.06 × 361.10
  4. Step 4: Simplify right side
    793.91x = 430,085.81
  5. Step 5: Solve for x
    x = 430,085.81/793.91
  6. Step 6: Final answer
    x = 541.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.