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Finding the Fourth Proportional to 815.53, 1,222.97 and 295.37

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Solution

The fourth proportional to 815.53, 1,222.97 and 295.37 is: 442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.53 : 1,222.97 = 295.37 : x
  2. Step 2: Convert to fraction form
    815.53/1,222.97 = 295.37/x
  3. Step 3: Cross multiply
    815.53x = 1,222.97 × 295.37
  4. Step 4: Simplify right side
    815.53x = 361,232.44
  5. Step 5: Solve for x
    x = 361,232.44/815.53
  6. Step 6: Final answer
    x = 442.94

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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.