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Finding the Fourth Proportional to 967.12, 1,447.34 and 596.78

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Solution

The fourth proportional to 967.12, 1,447.34 and 596.78 is: 893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.12 : 1,447.34 = 596.78 : x
  2. Step 2: Convert to fraction form
    967.12/1,447.34 = 596.78/x
  3. Step 3: Cross multiply
    967.12x = 1,447.34 × 596.78
  4. Step 4: Simplify right side
    967.12x = 863,743.57
  5. Step 5: Solve for x
    x = 863,743.57/967.12
  6. Step 6: Final answer
    x = 893.11

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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.