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Finding the Fourth Proportional to 979.18, 1,468.17 and 451.42

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Solution

The fourth proportional to 979.18, 1,468.17 and 451.42 is: 676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.18 : 1,468.17 = 451.42 : x
  2. Step 2: Convert to fraction form
    979.18/1,468.17 = 451.42/x
  3. Step 3: Cross multiply
    979.18x = 1,468.17 × 451.42
  4. Step 4: Simplify right side
    979.18x = 662,757.63
  5. Step 5: Solve for x
    x = 662,757.63/979.18
  6. Step 6: Final answer
    x = 676.85

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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.