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Finding the Fourth Proportional to 689.37, 1,034.63 and 299.66

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Solution

The fourth proportional to 689.37, 1,034.63 and 299.66 is: 449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.37 : 1,034.63 = 299.66 : x
  2. Step 2: Convert to fraction form
    689.37/1,034.63 = 299.66/x
  3. Step 3: Cross multiply
    689.37x = 1,034.63 × 299.66
  4. Step 4: Simplify right side
    689.37x = 310,040.56
  5. Step 5: Solve for x
    x = 310,040.56/689.37
  6. Step 6: Final answer
    x = 449.74

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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.