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Finding the Fourth Proportional to 814.61, 1,222.10 and 251.75

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Solution

The fourth proportional to 814.61, 1,222.10 and 251.75 is: 377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.61 : 1,222.10 = 251.75 : x
  2. Step 2: Convert to fraction form
    814.61/1,222.10 = 251.75/x
  3. Step 3: Cross multiply
    814.61x = 1,222.10 × 251.75
  4. Step 4: Simplify right side
    814.61x = 307,657.25
  5. Step 5: Solve for x
    x = 307,657.25/814.61
  6. Step 6: Final answer
    x = 377.67

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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.