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Finding the Fourth Proportional to 689.87, 1,032.87 and 494.18

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Solution

The fourth proportional to 689.87, 1,032.87 and 494.18 is: 739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.87 : 1,032.87 = 494.18 : x
  2. Step 2: Convert to fraction form
    689.87/1,032.87 = 494.18/x
  3. Step 3: Cross multiply
    689.87x = 1,032.87 × 494.18
  4. Step 4: Simplify right side
    689.87x = 510,426.28
  5. Step 5: Solve for x
    x = 510,426.28/689.87
  6. Step 6: Final answer
    x = 739.88

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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.