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Finding the Fourth Proportional to 967.34, 1,451.78 and 505.25

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Solution

The fourth proportional to 967.34, 1,451.78 and 505.25 is: 758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.34 : 1,451.78 = 505.25 : x
  2. Step 2: Convert to fraction form
    967.34/1,451.78 = 505.25/x
  3. Step 3: Cross multiply
    967.34x = 1,451.78 × 505.25
  4. Step 4: Simplify right side
    967.34x = 733,511.85
  5. Step 5: Solve for x
    x = 733,511.85/967.34
  6. Step 6: Final answer
    x = 758.28

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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.