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Finding the Fourth Proportional to 980.12, 1,470.45 and 517.79

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Solution

The fourth proportional to 980.12, 1,470.45 and 517.79 is: 776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.12 : 1,470.45 = 517.79 : x
  2. Step 2: Convert to fraction form
    980.12/1,470.45 = 517.79/x
  3. Step 3: Cross multiply
    980.12x = 1,470.45 × 517.79
  4. Step 4: Simplify right side
    980.12x = 761,376.95
  5. Step 5: Solve for x
    x = 761,376.95/980.12
  6. Step 6: Final answer
    x = 776.82

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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.