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Finding the Fourth Proportional to 967.75, 1,452.30 and 420.09

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Solution

The fourth proportional to 967.75, 1,452.30 and 420.09 is: 630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.75 : 1,452.30 = 420.09 : x
  2. Step 2: Convert to fraction form
    967.75/1,452.30 = 420.09/x
  3. Step 3: Cross multiply
    967.75x = 1,452.30 × 420.09
  4. Step 4: Simplify right side
    967.75x = 610,093.23
  5. Step 5: Solve for x
    x = 610,093.23/967.75
  6. Step 6: Final answer
    x = 630.43

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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.