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Finding the Fourth Proportional to 689.82, 1,033.80 and 342.65

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Solution

The fourth proportional to 689.82, 1,033.80 and 342.65 is: 513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.82 : 1,033.80 = 342.65 : x
  2. Step 2: Convert to fraction form
    689.82/1,033.80 = 342.65/x
  3. Step 3: Cross multiply
    689.82x = 1,033.80 × 342.65
  4. Step 4: Simplify right side
    689.82x = 354,226.40
  5. Step 5: Solve for x
    x = 354,226.40/689.82
  6. Step 6: Final answer
    x = 513.51

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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.