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Finding the Fourth Proportional to 964.31, 1,446.71 and 443.88

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Solution

The fourth proportional to 964.31, 1,446.71 and 443.88 is: 665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.31 : 1,446.71 = 443.88 : x
  2. Step 2: Convert to fraction form
    964.31/1,446.71 = 443.88/x
  3. Step 3: Cross multiply
    964.31x = 1,446.71 × 443.88
  4. Step 4: Simplify right side
    964.31x = 642,165.91
  5. Step 5: Solve for x
    x = 642,165.91/964.31
  6. Step 6: Final answer
    x = 665.94

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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.