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Finding the Fourth Proportional to 689, 1,033.46 and 342.20

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Solution

The fourth proportional to 689, 1,033.46 and 342.20 is: 513.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    689 : 1,033.46 = 342.20 : x
  2. Step 2: Convert to fraction form
    689/1,033.46 = 342.20/x
  3. Step 3: Cross multiply
    689x = 1,033.46 × 342.20
  4. Step 4: Simplify right side
    689x = 353,650.01
  5. Step 5: Solve for x
    x = 353,650.01/689
  6. Step 6: Final answer
    x = 513.28

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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.