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Finding the Fourth Proportional to 689.22, 950.79 and 456.54

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Solution

The fourth proportional to 689.22, 950.79 and 456.54 is: 629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.22 : 950.79 = 456.54 : x
  2. Step 2: Convert to fraction form
    689.22/950.79 = 456.54/x
  3. Step 3: Cross multiply
    689.22x = 950.79 × 456.54
  4. Step 4: Simplify right side
    689.22x = 434,073.67
  5. Step 5: Solve for x
    x = 434,073.67/689.22
  6. Step 6: Final answer
    x = 629.80

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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.