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Finding the Fourth Proportional to 979.90, 1,470.09 and 321.83

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Solution

The fourth proportional to 979.90, 1,470.09 and 321.83 is: 482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.90 : 1,470.09 = 321.83 : x
  2. Step 2: Convert to fraction form
    979.90/1,470.09 = 321.83/x
  3. Step 3: Cross multiply
    979.90x = 1,470.09 × 321.83
  4. Step 4: Simplify right side
    979.90x = 473,119.06
  5. Step 5: Solve for x
    x = 473,119.06/979.90
  6. Step 6: Final answer
    x = 482.82

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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.