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Finding the Fourth Proportional to 829.88, 1,245.04 and 336.44

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Solution

The fourth proportional to 829.88, 1,245.04 and 336.44 is: 504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.88 : 1,245.04 = 336.44 : x
  2. Step 2: Convert to fraction form
    829.88/1,245.04 = 336.44/x
  3. Step 3: Cross multiply
    829.88x = 1,245.04 × 336.44
  4. Step 4: Simplify right side
    829.88x = 418,881.26
  5. Step 5: Solve for x
    x = 418,881.26/829.88
  6. Step 6: Final answer
    x = 504.75

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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.