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Finding the Fourth Proportional to 689.52, 1,033.25 and 543.63

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Solution

The fourth proportional to 689.52, 1,033.25 and 543.63 is: 814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.52 : 1,033.25 = 543.63 : x
  2. Step 2: Convert to fraction form
    689.52/1,033.25 = 543.63/x
  3. Step 3: Cross multiply
    689.52x = 1,033.25 × 543.63
  4. Step 4: Simplify right side
    689.52x = 561,704.20
  5. Step 5: Solve for x
    x = 561,704.20/689.52
  6. Step 6: Final answer
    x = 814.63

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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.