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Finding the Fourth Proportional to 689.67, 1,033.88 and 299.43

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Solution

The fourth proportional to 689.67, 1,033.88 and 299.43 is: 448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.67 : 1,033.88 = 299.43 : x
  2. Step 2: Convert to fraction form
    689.67/1,033.88 = 299.43/x
  3. Step 3: Cross multiply
    689.67x = 1,033.88 × 299.43
  4. Step 4: Simplify right side
    689.67x = 309,574.69
  5. Step 5: Solve for x
    x = 309,574.69/689.67
  6. Step 6: Final answer
    x = 448.87

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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.