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Finding the Fourth Proportional to 816.82, 1,223.24 and 405.41

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Solution

The fourth proportional to 816.82, 1,223.24 and 405.41 is: 607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.82 : 1,223.24 = 405.41 : x
  2. Step 2: Convert to fraction form
    816.82/1,223.24 = 405.41/x
  3. Step 3: Cross multiply
    816.82x = 1,223.24 × 405.41
  4. Step 4: Simplify right side
    816.82x = 495,905.59
  5. Step 5: Solve for x
    x = 495,905.59/816.82
  6. Step 6: Final answer
    x = 607.12

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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.