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Finding the Fourth Proportional to 967.84, 1,450.80 and 391.12

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Solution

The fourth proportional to 967.84, 1,450.80 and 391.12 is: 586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.84 : 1,450.80 = 391.12 : x
  2. Step 2: Convert to fraction form
    967.84/1,450.80 = 391.12/x
  3. Step 3: Cross multiply
    967.84x = 1,450.80 × 391.12
  4. Step 4: Simplify right side
    967.84x = 567,436.90
  5. Step 5: Solve for x
    x = 567,436.90/967.84
  6. Step 6: Final answer
    x = 586.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.