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Finding the Fourth Proportional to 682.62, 1,024.80 and 568.46

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Solution

The fourth proportional to 682.62, 1,024.80 and 568.46 is: 853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.62 : 1,024.80 = 568.46 : x
  2. Step 2: Convert to fraction form
    682.62/1,024.80 = 568.46/x
  3. Step 3: Cross multiply
    682.62x = 1,024.80 × 568.46
  4. Step 4: Simplify right side
    682.62x = 582,557.81
  5. Step 5: Solve for x
    x = 582,557.81/682.62
  6. Step 6: Final answer
    x = 853.41

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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.