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Finding the Fourth Proportional to 795.85, 1,194.23 and 308.94

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Solution

The fourth proportional to 795.85, 1,194.23 and 308.94 is: 463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.85 : 1,194.23 = 308.94 : x
  2. Step 2: Convert to fraction form
    795.85/1,194.23 = 308.94/x
  3. Step 3: Cross multiply
    795.85x = 1,194.23 × 308.94
  4. Step 4: Simplify right side
    795.85x = 368,945.42
  5. Step 5: Solve for x
    x = 368,945.42/795.85
  6. Step 6: Final answer
    x = 463.59

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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.