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Finding the Fourth Proportional to 693.96, 1,040.43 and 419.99

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Solution

The fourth proportional to 693.96, 1,040.43 and 419.99 is: 629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.96 : 1,040.43 = 419.99 : x
  2. Step 2: Convert to fraction form
    693.96/1,040.43 = 419.99/x
  3. Step 3: Cross multiply
    693.96x = 1,040.43 × 419.99
  4. Step 4: Simplify right side
    693.96x = 436,964.21
  5. Step 5: Solve for x
    x = 436,964.21/693.96
  6. Step 6: Final answer
    x = 629.67

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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.