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Finding the Fourth Proportional to 682.21, 934.89 and 616.60

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Solution

The fourth proportional to 682.21, 934.89 and 616.60 is: 844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.21 : 934.89 = 616.60 : x
  2. Step 2: Convert to fraction form
    682.21/934.89 = 616.60/x
  3. Step 3: Cross multiply
    682.21x = 934.89 × 616.60
  4. Step 4: Simplify right side
    682.21x = 576,453.17
  5. Step 5: Solve for x
    x = 576,453.17/682.21
  6. Step 6: Final answer
    x = 844.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.