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Finding the Fourth Proportional to 980.39, 1,470.62 and 493.18

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Solution

The fourth proportional to 980.39, 1,470.62 and 493.18 is: 739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.39 : 1,470.62 = 493.18 : x
  2. Step 2: Convert to fraction form
    980.39/1,470.62 = 493.18/x
  3. Step 3: Cross multiply
    980.39x = 1,470.62 × 493.18
  4. Step 4: Simplify right side
    980.39x = 725,277.93
  5. Step 5: Solve for x
    x = 725,277.93/980.39
  6. Step 6: Final answer
    x = 739.78

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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.