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Finding the Fourth Proportional to 689.83, 1,034.75 and 324.43

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Solution

The fourth proportional to 689.83, 1,034.75 and 324.43 is: 486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.83 : 1,034.75 = 324.43 : x
  2. Step 2: Convert to fraction form
    689.83/1,034.75 = 324.43/x
  3. Step 3: Cross multiply
    689.83x = 1,034.75 × 324.43
  4. Step 4: Simplify right side
    689.83x = 335,703.94
  5. Step 5: Solve for x
    x = 335,703.94/689.83
  6. Step 6: Final answer
    x = 486.65

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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.