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Finding the Fourth Proportional to 967.11, 1,450.18 and 473.56

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Solution

The fourth proportional to 967.11, 1,450.18 and 473.56 is: 710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.11 : 1,450.18 = 473.56 : x
  2. Step 2: Convert to fraction form
    967.11/1,450.18 = 473.56/x
  3. Step 3: Cross multiply
    967.11x = 1,450.18 × 473.56
  4. Step 4: Simplify right side
    967.11x = 686,737.62
  5. Step 5: Solve for x
    x = 686,737.62/967.11
  6. Step 6: Final answer
    x = 710.09

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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.