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Finding the Fourth Proportional to 980.41, 1,470.08 and 518.11

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Solution

The fourth proportional to 980.41, 1,470.08 and 518.11 is: 776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.41 : 1,470.08 = 518.11 : x
  2. Step 2: Convert to fraction form
    980.41/1,470.08 = 518.11/x
  3. Step 3: Cross multiply
    980.41x = 1,470.08 × 518.11
  4. Step 4: Simplify right side
    980.41x = 761,660.56
  5. Step 5: Solve for x
    x = 761,660.56/980.41
  6. Step 6: Final answer
    x = 776.88

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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.