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Finding the Fourth Proportional to 689.26, 1,033.89 and 298.94

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Solution

The fourth proportional to 689.26, 1,033.89 and 298.94 is: 448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.26 : 1,033.89 = 298.94 : x
  2. Step 2: Convert to fraction form
    689.26/1,033.89 = 298.94/x
  3. Step 3: Cross multiply
    689.26x = 1,033.89 × 298.94
  4. Step 4: Simplify right side
    689.26x = 309,071.08
  5. Step 5: Solve for x
    x = 309,071.08/689.26
  6. Step 6: Final answer
    x = 448.41

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Why These Related Problems?

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