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Finding the Fourth Proportional to 979.97, 1,470.29 and 492.62

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Solution

The fourth proportional to 979.97, 1,470.29 and 492.62 is: 739.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.97 : 1,470.29 = 492.62 : x
  2. Step 2: Convert to fraction form
    979.97/1,470.29 = 492.62/x
  3. Step 3: Cross multiply
    979.97x = 1,470.29 × 492.62
  4. Step 4: Simplify right side
    979.97x = 724,284.45
  5. Step 5: Solve for x
    x = 724,284.45/979.97
  6. Step 6: Final answer
    x = 739.09

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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.