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Finding the Fourth Proportional to 689.16, 949.63 and 531.81

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Solution

The fourth proportional to 689.16, 949.63 and 531.81 is: 732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.16 : 949.63 = 531.81 : x
  2. Step 2: Convert to fraction form
    689.16/949.63 = 531.81/x
  3. Step 3: Cross multiply
    689.16x = 949.63 × 531.81
  4. Step 4: Simplify right side
    689.16x = 505,022.73
  5. Step 5: Solve for x
    x = 505,022.73/689.16
  6. Step 6: Final answer
    x = 732.81

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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.