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Finding the Fourth Proportional to 689.10, 1,034.16 and 324.14

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Solution

The fourth proportional to 689.10, 1,034.16 and 324.14 is: 486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.10 : 1,034.16 = 324.14 : x
  2. Step 2: Convert to fraction form
    689.10/1,034.16 = 324.14/x
  3. Step 3: Cross multiply
    689.10x = 1,034.16 × 324.14
  4. Step 4: Simplify right side
    689.10x = 335,217.24
  5. Step 5: Solve for x
    x = 335,217.24/689.10
  6. Step 6: Final answer
    x = 486.46

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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.