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Finding the Fourth Proportional to 829.26, 1,243.35 and 459.09

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Solution

The fourth proportional to 829.26, 1,243.35 and 459.09 is: 688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.26 : 1,243.35 = 459.09 : x
  2. Step 2: Convert to fraction form
    829.26/1,243.35 = 459.09/x
  3. Step 3: Cross multiply
    829.26x = 1,243.35 × 459.09
  4. Step 4: Simplify right side
    829.26x = 570,809.55
  5. Step 5: Solve for x
    x = 570,809.55/829.26
  6. Step 6: Final answer
    x = 688.34

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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.