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Finding the Fourth Proportional to 676.91, 1,014.96 and 459.83

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Solution

The fourth proportional to 676.91, 1,014.96 and 459.83 is: 689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.91 : 1,014.96 = 459.83 : x
  2. Step 2: Convert to fraction form
    676.91/1,014.96 = 459.83/x
  3. Step 3: Cross multiply
    676.91x = 1,014.96 × 459.83
  4. Step 4: Simplify right side
    676.91x = 466,709.06
  5. Step 5: Solve for x
    x = 466,709.06/676.91
  6. Step 6: Final answer
    x = 689.47

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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.