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Finding the Fourth Proportional to 967.52, 1,450.68 and 505.82

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Solution

The fourth proportional to 967.52, 1,450.68 and 505.82 is: 758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.52 : 1,450.68 = 505.82 : x
  2. Step 2: Convert to fraction form
    967.52/1,450.68 = 505.82/x
  3. Step 3: Cross multiply
    967.52x = 1,450.68 × 505.82
  4. Step 4: Simplify right side
    967.52x = 733,782.96
  5. Step 5: Solve for x
    x = 733,782.96/967.52
  6. Step 6: Final answer
    x = 758.42

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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.