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Finding the Fourth Proportional to 672.58, 1,007.97 and 441.37

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Solution

The fourth proportional to 672.58, 1,007.97 and 441.37 is: 661.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.58 : 1,007.97 = 441.37 : x
  2. Step 2: Convert to fraction form
    672.58/1,007.97 = 441.37/x
  3. Step 3: Cross multiply
    672.58x = 1,007.97 × 441.37
  4. Step 4: Simplify right side
    672.58x = 444,887.72
  5. Step 5: Solve for x
    x = 444,887.72/672.58
  6. Step 6: Final answer
    x = 661.46

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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.