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Finding the Fourth Proportional to 816.09, 1,223.19 and 376.43

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Solution

The fourth proportional to 816.09, 1,223.19 and 376.43 is: 564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.09 : 1,223.19 = 376.43 : x
  2. Step 2: Convert to fraction form
    816.09/1,223.19 = 376.43/x
  3. Step 3: Cross multiply
    816.09x = 1,223.19 × 376.43
  4. Step 4: Simplify right side
    816.09x = 460,439.30
  5. Step 5: Solve for x
    x = 460,439.30/816.09
  6. Step 6: Final answer
    x = 564.20

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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.