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Finding the Fourth Proportional to 967.38, 1,451.82 and 351.68

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Solution

The fourth proportional to 967.38, 1,451.82 and 351.68 is: 527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.38 : 1,451.82 = 351.68 : x
  2. Step 2: Convert to fraction form
    967.38/1,451.82 = 351.68/x
  3. Step 3: Cross multiply
    967.38x = 1,451.82 × 351.68
  4. Step 4: Simplify right side
    967.38x = 510,570.12
  5. Step 5: Solve for x
    x = 510,570.12/967.38
  6. Step 6: Final answer
    x = 527.79

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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.