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Finding the Fourth Proportional to 814.82, 1,222.33 and 295.07

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Solution

The fourth proportional to 814.82, 1,222.33 and 295.07 is: 442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.82 : 1,222.33 = 295.07 : x
  2. Step 2: Convert to fraction form
    814.82/1,222.33 = 295.07/x
  3. Step 3: Cross multiply
    814.82x = 1,222.33 × 295.07
  4. Step 4: Simplify right side
    814.82x = 360,668.08
  5. Step 5: Solve for x
    x = 360,668.08/814.82
  6. Step 6: Final answer
    x = 442.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.