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Finding the Fourth Proportional to 966.35, 1,451.31 and 504.44

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Solution

The fourth proportional to 966.35, 1,451.31 and 504.44 is: 757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.35 : 1,451.31 = 504.44 : x
  2. Step 2: Convert to fraction form
    966.35/1,451.31 = 504.44/x
  3. Step 3: Cross multiply
    966.35x = 1,451.31 × 504.44
  4. Step 4: Simplify right side
    966.35x = 732,096.29
  5. Step 5: Solve for x
    x = 732,096.29/966.35
  6. Step 6: Final answer
    x = 757.59

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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.