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Finding the Fourth Proportional to 814.71, 1,222.23 and 266.91

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Solution

The fourth proportional to 814.71, 1,222.23 and 266.91 is: 400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.71 : 1,222.23 = 266.91 : x
  2. Step 2: Convert to fraction form
    814.71/1,222.23 = 266.91/x
  3. Step 3: Cross multiply
    814.71x = 1,222.23 × 266.91
  4. Step 4: Simplify right side
    814.71x = 326,225.41
  5. Step 5: Solve for x
    x = 326,225.41/814.71
  6. Step 6: Final answer
    x = 400.42

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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.