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Finding the Fourth Proportional to 979.32, 1,469.86 and 459.62

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Solution

The fourth proportional to 979.32, 1,469.86 and 459.62 is: 689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.32 : 1,469.86 = 459.62 : x
  2. Step 2: Convert to fraction form
    979.32/1,469.86 = 459.62/x
  3. Step 3: Cross multiply
    979.32x = 1,469.86 × 459.62
  4. Step 4: Simplify right side
    979.32x = 675,577.05
  5. Step 5: Solve for x
    x = 675,577.05/979.32
  6. Step 6: Final answer
    x = 689.84

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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.