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Finding the Fourth Proportional to 672.87, 1,009.16 and 185.96

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Solution

The fourth proportional to 672.87, 1,009.16 and 185.96 is: 278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.87 : 1,009.16 = 185.96 : x
  2. Step 2: Convert to fraction form
    672.87/1,009.16 = 185.96/x
  3. Step 3: Cross multiply
    672.87x = 1,009.16 × 185.96
  4. Step 4: Simplify right side
    672.87x = 187,665.68
  5. Step 5: Solve for x
    x = 187,665.68/672.87
  6. Step 6: Final answer
    x = 278.90

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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.