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Finding the Fourth Proportional to 967.24, 1,447.08 and 676.72

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Solution

The fourth proportional to 967.24, 1,447.08 and 676.72 is: 1,012.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.24 : 1,447.08 = 676.72 : x
  2. Step 2: Convert to fraction form
    967.24/1,447.08 = 676.72/x
  3. Step 3: Cross multiply
    967.24x = 1,447.08 × 676.72
  4. Step 4: Simplify right side
    967.24x = 979,267.98
  5. Step 5: Solve for x
    x = 979,267.98/967.24
  6. Step 6: Final answer
    x = 1,012.44

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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.