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Finding the Fourth Proportional to 682.02, 1,021.98 and 528.34

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Solution

The fourth proportional to 682.02, 1,021.98 and 528.34 is: 791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.02 : 1,021.98 = 528.34 : x
  2. Step 2: Convert to fraction form
    682.02/1,021.98 = 528.34/x
  3. Step 3: Cross multiply
    682.02x = 1,021.98 × 528.34
  4. Step 4: Simplify right side
    682.02x = 539,952.91
  5. Step 5: Solve for x
    x = 539,952.91/682.02
  6. Step 6: Final answer
    x = 791.70

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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.