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Finding the Fourth Proportional to 829.37, 1,144.36 and 493.39

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Solution

The fourth proportional to 829.37, 1,144.36 and 493.39 is: 680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.37 : 1,144.36 = 493.39 : x
  2. Step 2: Convert to fraction form
    829.37/1,144.36 = 493.39/x
  3. Step 3: Cross multiply
    829.37x = 1,144.36 × 493.39
  4. Step 4: Simplify right side
    829.37x = 564,614.55
  5. Step 5: Solve for x
    x = 564,614.55/829.37
  6. Step 6: Final answer
    x = 680.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.