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Finding the Fourth Proportional to 967.15, 1,450.52 and 447.18

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Solution

The fourth proportional to 967.15, 1,450.52 and 447.18 is: 670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.15 : 1,450.52 = 447.18 : x
  2. Step 2: Convert to fraction form
    967.15/1,450.52 = 447.18/x
  3. Step 3: Cross multiply
    967.15x = 1,450.52 × 447.18
  4. Step 4: Simplify right side
    967.15x = 648,643.53
  5. Step 5: Solve for x
    x = 648,643.53/967.15
  6. Step 6: Final answer
    x = 670.68

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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.