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Finding the Fourth Proportional to 699.78, 964.75 and 450.68

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Solution

The fourth proportional to 699.78, 964.75 and 450.68 is: 621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.78 : 964.75 = 450.68 : x
  2. Step 2: Convert to fraction form
    699.78/964.75 = 450.68/x
  3. Step 3: Cross multiply
    699.78x = 964.75 × 450.68
  4. Step 4: Simplify right side
    699.78x = 434,793.53
  5. Step 5: Solve for x
    x = 434,793.53/699.78
  6. Step 6: Final answer
    x = 621.33

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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.