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Finding the Fourth Proportional to 814, 1,222.08 and 699.16

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Solution

The fourth proportional to 814, 1,222.08 and 699.16 is: 1,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    814 : 1,222.08 = 699.16 : x
  2. Step 2: Convert to fraction form
    814/1,222.08 = 699.16/x
  3. Step 3: Cross multiply
    814x = 1,222.08 × 699.16
  4. Step 4: Simplify right side
    814x = 854,429.45
  5. Step 5: Solve for x
    x = 854,429.45/814
  6. Step 6: Final answer
    x = 1,049.67

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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.