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Finding the Fourth Proportional to 815.94, 1,224.26 and 450.99

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Solution

The fourth proportional to 815.94, 1,224.26 and 450.99 is: 676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.94 : 1,224.26 = 450.99 : x
  2. Step 2: Convert to fraction form
    815.94/1,224.26 = 450.99/x
  3. Step 3: Cross multiply
    815.94x = 1,224.26 × 450.99
  4. Step 4: Simplify right side
    815.94x = 552,129.02
  5. Step 5: Solve for x
    x = 552,129.02/815.94
  6. Step 6: Final answer
    x = 676.68

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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.