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Finding the Fourth Proportional to 809.02, 1,213.26 and 315.37

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Solution

The fourth proportional to 809.02, 1,213.26 and 315.37 is: 472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.02 : 1,213.26 = 315.37 : x
  2. Step 2: Convert to fraction form
    809.02/1,213.26 = 315.37/x
  3. Step 3: Cross multiply
    809.02x = 1,213.26 × 315.37
  4. Step 4: Simplify right side
    809.02x = 382,625.81
  5. Step 5: Solve for x
    x = 382,625.81/809.02
  6. Step 6: Final answer
    x = 472.95

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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.