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Finding the Fourth Proportional to 814.84, 1,222.86 and 490.72

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Solution

The fourth proportional to 814.84, 1,222.86 and 490.72 is: 736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.84 : 1,222.86 = 490.72 : x
  2. Step 2: Convert to fraction form
    814.84/1,222.86 = 490.72/x
  3. Step 3: Cross multiply
    814.84x = 1,222.86 × 490.72
  4. Step 4: Simplify right side
    814.84x = 600,081.86
  5. Step 5: Solve for x
    x = 600,081.86/814.84
  6. Step 6: Final answer
    x = 736.44

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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.