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Finding the Fourth Proportional to 967.02, 1,450.44 and 419.10

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Solution

The fourth proportional to 967.02, 1,450.44 and 419.10 is: 628.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.02 : 1,450.44 = 419.10 : x
  2. Step 2: Convert to fraction form
    967.02/1,450.44 = 419.10/x
  3. Step 3: Cross multiply
    967.02x = 1,450.44 × 419.10
  4. Step 4: Simplify right side
    967.02x = 607,879.40
  5. Step 5: Solve for x
    x = 607,879.40/967.02
  6. Step 6: Final answer
    x = 628.61

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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.