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Finding the Fourth Proportional to 967.54, 1,450.11 and 505.08

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Solution

The fourth proportional to 967.54, 1,450.11 and 505.08 is: 756.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.54 : 1,450.11 = 505.08 : x
  2. Step 2: Convert to fraction form
    967.54/1,450.11 = 505.08/x
  3. Step 3: Cross multiply
    967.54x = 1,450.11 × 505.08
  4. Step 4: Simplify right side
    967.54x = 732,421.56
  5. Step 5: Solve for x
    x = 732,421.56/967.54
  6. Step 6: Final answer
    x = 756.99

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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.