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Finding the Fourth Proportional to 967.68, 1,450.44 and 382.14

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Solution

The fourth proportional to 967.68, 1,450.44 and 382.14 is: 572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.68 : 1,450.44 = 382.14 : x
  2. Step 2: Convert to fraction form
    967.68/1,450.44 = 382.14/x
  3. Step 3: Cross multiply
    967.68x = 1,450.44 × 382.14
  4. Step 4: Simplify right side
    967.68x = 554,271.14
  5. Step 5: Solve for x
    x = 554,271.14/967.68
  6. Step 6: Final answer
    x = 572.78

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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.