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Finding the Fourth Proportional to 689.03, 1,033.73 and 298.87

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Solution

The fourth proportional to 689.03, 1,033.73 and 298.87 is: 448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.03 : 1,033.73 = 298.87 : x
  2. Step 2: Convert to fraction form
    689.03/1,033.73 = 298.87/x
  3. Step 3: Cross multiply
    689.03x = 1,033.73 × 298.87
  4. Step 4: Simplify right side
    689.03x = 308,949.05
  5. Step 5: Solve for x
    x = 308,949.05/689.03
  6. Step 6: Final answer
    x = 448.38

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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.