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Finding the Fourth Proportional to 967.07, 1,450.32 and 419.12

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Solution

The fourth proportional to 967.07, 1,450.32 and 419.12 is: 628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.07 : 1,450.32 = 419.12 : x
  2. Step 2: Convert to fraction form
    967.07/1,450.32 = 419.12/x
  3. Step 3: Cross multiply
    967.07x = 1,450.32 × 419.12
  4. Step 4: Simplify right side
    967.07x = 607,858.12
  5. Step 5: Solve for x
    x = 607,858.12/967.07
  6. Step 6: Final answer
    x = 628.56

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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.