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Finding the Fourth Proportional to 689.88, 1,033.26 and 506.82

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Solution

The fourth proportional to 689.88, 1,033.26 and 506.82 is: 759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.88 : 1,033.26 = 506.82 : x
  2. Step 2: Convert to fraction form
    689.88/1,033.26 = 506.82/x
  3. Step 3: Cross multiply
    689.88x = 1,033.26 × 506.82
  4. Step 4: Simplify right side
    689.88x = 523,676.83
  5. Step 5: Solve for x
    x = 523,676.83/689.88
  6. Step 6: Final answer
    x = 759.08

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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.