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Finding the Fourth Proportional to 832.63, 1,249.05 and 659.61

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Solution

The fourth proportional to 832.63, 1,249.05 and 659.61 is: 989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.63 : 1,249.05 = 659.61 : x
  2. Step 2: Convert to fraction form
    832.63/1,249.05 = 659.61/x
  3. Step 3: Cross multiply
    832.63x = 1,249.05 × 659.61
  4. Step 4: Simplify right side
    832.63x = 823,885.87
  5. Step 5: Solve for x
    x = 823,885.87/832.63
  6. Step 6: Final answer
    x = 989.50

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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.