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Finding the Fourth Proportional to 816.25, 1,223.56 and 382.63

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Solution

The fourth proportional to 816.25, 1,223.56 and 382.63 is: 573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.25 : 1,223.56 = 382.63 : x
  2. Step 2: Convert to fraction form
    816.25/1,223.56 = 382.63/x
  3. Step 3: Cross multiply
    816.25x = 1,223.56 × 382.63
  4. Step 4: Simplify right side
    816.25x = 468,170.76
  5. Step 5: Solve for x
    x = 468,170.76/816.25
  6. Step 6: Final answer
    x = 573.56

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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.