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Finding the Fourth Proportional to 672.89, 1,007.60 and 441.09

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Solution

The fourth proportional to 672.89, 1,007.60 and 441.09 is: 660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.89 : 1,007.60 = 441.09 : x
  2. Step 2: Convert to fraction form
    672.89/1,007.60 = 441.09/x
  3. Step 3: Cross multiply
    672.89x = 1,007.60 × 441.09
  4. Step 4: Simplify right side
    672.89x = 444,440.08
  5. Step 5: Solve for x
    x = 444,440.08/672.89
  6. Step 6: Final answer
    x = 660.50

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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.