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Finding the Fourth Proportional to 699.73, 965.14 and 450.66

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Solution

The fourth proportional to 699.73, 965.14 and 450.66 is: 621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.73 : 965.14 = 450.66 : x
  2. Step 2: Convert to fraction form
    699.73/965.14 = 450.66/x
  3. Step 3: Cross multiply
    699.73x = 965.14 × 450.66
  4. Step 4: Simplify right side
    699.73x = 434,949.99
  5. Step 5: Solve for x
    x = 434,949.99/699.73
  6. Step 6: Final answer
    x = 621.60

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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.