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Finding the Fourth Proportional to 986.14, 1,479 and 465.92

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Solution

The fourth proportional to 986.14, 1,479 and 465.92 is: 698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.14 : 1,479 = 465.92 : x
  2. Step 2: Convert to fraction form
    986.14/1,479 = 465.92/x
  3. Step 3: Cross multiply
    986.14x = 1,479 × 465.92
  4. Step 4: Simplify right side
    986.14x = 689,095.68
  5. Step 5: Solve for x
    x = 689,095.68/986.14
  6. Step 6: Final answer
    x = 698.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.