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Finding the Fourth Proportional to 980.03, 1,470.06 and 492.83

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Solution

The fourth proportional to 980.03, 1,470.06 and 492.83 is: 739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.03 : 1,470.06 = 492.83 : x
  2. Step 2: Convert to fraction form
    980.03/1,470.06 = 492.83/x
  3. Step 3: Cross multiply
    980.03x = 1,470.06 × 492.83
  4. Step 4: Simplify right side
    980.03x = 724,489.67
  5. Step 5: Solve for x
    x = 724,489.67/980.03
  6. Step 6: Final answer
    x = 739.25

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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.