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Finding the Fourth Proportional to 689.52, 1,034.14 and 324.12

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Solution

The fourth proportional to 689.52, 1,034.14 and 324.12 is: 486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.52 : 1,034.14 = 324.12 : x
  2. Step 2: Convert to fraction form
    689.52/1,034.14 = 324.12/x
  3. Step 3: Cross multiply
    689.52x = 1,034.14 × 324.12
  4. Step 4: Simplify right side
    689.52x = 335,185.46
  5. Step 5: Solve for x
    x = 335,185.46/689.52
  6. Step 6: Final answer
    x = 486.11

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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.