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Finding the Fourth Proportional to 672.45, 1,008.41 and 261.78

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Solution

The fourth proportional to 672.45, 1,008.41 and 261.78 is: 392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.45 : 1,008.41 = 261.78 : x
  2. Step 2: Convert to fraction form
    672.45/1,008.41 = 261.78/x
  3. Step 3: Cross multiply
    672.45x = 1,008.41 × 261.78
  4. Step 4: Simplify right side
    672.45x = 263,980.26
  5. Step 5: Solve for x
    x = 263,980.26/672.45
  6. Step 6: Final answer
    x = 392.56

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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.