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Finding the Fourth Proportional to 814.72, 1,222.24 and 259.46

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Solution

The fourth proportional to 814.72, 1,222.24 and 259.46 is: 389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.72 : 1,222.24 = 259.46 : x
  2. Step 2: Convert to fraction form
    814.72/1,222.24 = 259.46/x
  3. Step 3: Cross multiply
    814.72x = 1,222.24 × 259.46
  4. Step 4: Simplify right side
    814.72x = 317,122.39
  5. Step 5: Solve for x
    x = 317,122.39/814.72
  6. Step 6: Final answer
    x = 389.24

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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.