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Finding the Fourth Proportional to 815.33, 1,222.14 and 450.02

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Solution

The fourth proportional to 815.33, 1,222.14 and 450.02 is: 674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.33 : 1,222.14 = 450.02 : x
  2. Step 2: Convert to fraction form
    815.33/1,222.14 = 450.02/x
  3. Step 3: Cross multiply
    815.33x = 1,222.14 × 450.02
  4. Step 4: Simplify right side
    815.33x = 549,987.44
  5. Step 5: Solve for x
    x = 549,987.44/815.33
  6. Step 6: Final answer
    x = 674.56

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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.