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Finding the Fourth Proportional to 794.07, 1,191.74 and 361.26

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Solution

The fourth proportional to 794.07, 1,191.74 and 361.26 is: 542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.07 : 1,191.74 = 361.26 : x
  2. Step 2: Convert to fraction form
    794.07/1,191.74 = 361.26/x
  3. Step 3: Cross multiply
    794.07x = 1,191.74 × 361.26
  4. Step 4: Simplify right side
    794.07x = 430,526.19
  5. Step 5: Solve for x
    x = 430,526.19/794.07
  6. Step 6: Final answer
    x = 542.18

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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.