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Finding the Fourth Proportional to 967.90, 1,450.77 and 419.80

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Solution

The fourth proportional to 967.90, 1,450.77 and 419.80 is: 629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.90 : 1,450.77 = 419.80 : x
  2. Step 2: Convert to fraction form
    967.90/1,450.77 = 419.80/x
  3. Step 3: Cross multiply
    967.90x = 1,450.77 × 419.80
  4. Step 4: Simplify right side
    967.90x = 609,033.25
  5. Step 5: Solve for x
    x = 609,033.25/967.90
  6. Step 6: Final answer
    x = 629.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.