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Finding the Fourth Proportional to 829.34, 1,243.35 and 568.55

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Solution

The fourth proportional to 829.34, 1,243.35 and 568.55 is: 852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.34 : 1,243.35 = 568.55 : x
  2. Step 2: Convert to fraction form
    829.34/1,243.35 = 568.55/x
  3. Step 3: Cross multiply
    829.34x = 1,243.35 × 568.55
  4. Step 4: Simplify right side
    829.34x = 706,906.64
  5. Step 5: Solve for x
    x = 706,906.64/829.34
  6. Step 6: Final answer
    x = 852.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.