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Finding the Fourth Proportional to 794.59, 1,191.88 and 362.05

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Solution

The fourth proportional to 794.59, 1,191.88 and 362.05 is: 543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.59 : 1,191.88 = 362.05 : x
  2. Step 2: Convert to fraction form
    794.59/1,191.88 = 362.05/x
  3. Step 3: Cross multiply
    794.59x = 1,191.88 × 362.05
  4. Step 4: Simplify right side
    794.59x = 431,520.15
  5. Step 5: Solve for x
    x = 431,520.15/794.59
  6. Step 6: Final answer
    x = 543.07

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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.