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Finding the Fourth Proportional to 689.51, 1,032.75 and 516.38

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Solution

The fourth proportional to 689.51, 1,032.75 and 516.38 is: 773.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.51 : 1,032.75 = 516.38 : x
  2. Step 2: Convert to fraction form
    689.51/1,032.75 = 516.38/x
  3. Step 3: Cross multiply
    689.51x = 1,032.75 × 516.38
  4. Step 4: Simplify right side
    689.51x = 533,286.28
  5. Step 5: Solve for x
    x = 533,286.28/689.51
  6. Step 6: Final answer
    x = 773.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.