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Finding the Fourth Proportional to 967.02, 1,450.74 and 317.73

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Solution

The fourth proportional to 967.02, 1,450.74 and 317.73 is: 476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.02 : 1,450.74 = 317.73 : x
  2. Step 2: Convert to fraction form
    967.02/1,450.74 = 317.73/x
  3. Step 3: Cross multiply
    967.02x = 1,450.74 × 317.73
  4. Step 4: Simplify right side
    967.02x = 460,943.62
  5. Step 5: Solve for x
    x = 460,943.62/967.02
  6. Step 6: Final answer
    x = 476.66

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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.