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Finding the Fourth Proportional to 727.56, 1,091.07 and 419.67

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Solution

The fourth proportional to 727.56, 1,091.07 and 419.67 is: 629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.56 : 1,091.07 = 419.67 : x
  2. Step 2: Convert to fraction form
    727.56/1,091.07 = 419.67/x
  3. Step 3: Cross multiply
    727.56x = 1,091.07 × 419.67
  4. Step 4: Simplify right side
    727.56x = 457,889.35
  5. Step 5: Solve for x
    x = 457,889.35/727.56
  6. Step 6: Final answer
    x = 629.35

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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.