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Finding the Fourth Proportional to 682.20, 939.60 and 507.24

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Solution

The fourth proportional to 682.20, 939.60 and 507.24 is: 698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.20 : 939.60 = 507.24 : x
  2. Step 2: Convert to fraction form
    682.20/939.60 = 507.24/x
  3. Step 3: Cross multiply
    682.20x = 939.60 × 507.24
  4. Step 4: Simplify right side
    682.20x = 476,602.70
  5. Step 5: Solve for x
    x = 476,602.70/682.20
  6. Step 6: Final answer
    x = 698.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.