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Finding the Fourth Proportional to 694.23, 957.80 and 445.68

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Solution

The fourth proportional to 694.23, 957.80 and 445.68 is: 614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.23 : 957.80 = 445.68 : x
  2. Step 2: Convert to fraction form
    694.23/957.80 = 445.68/x
  3. Step 3: Cross multiply
    694.23x = 957.80 × 445.68
  4. Step 4: Simplify right side
    694.23x = 426,872.30
  5. Step 5: Solve for x
    x = 426,872.30/694.23
  6. Step 6: Final answer
    x = 614.89

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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.