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Finding the Fourth Proportional to 683.25, 1,025.70 and 529.27

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Solution

The fourth proportional to 683.25, 1,025.70 and 529.27 is: 794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.25 : 1,025.70 = 529.27 : x
  2. Step 2: Convert to fraction form
    683.25/1,025.70 = 529.27/x
  3. Step 3: Cross multiply
    683.25x = 1,025.70 × 529.27
  4. Step 4: Simplify right side
    683.25x = 542,872.24
  5. Step 5: Solve for x
    x = 542,872.24/683.25
  6. Step 6: Final answer
    x = 794.54

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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.