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Finding the Fourth Proportional to 980.10, 1,470.78 and 517.68

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Solution

The fourth proportional to 980.10, 1,470.78 and 517.68 is: 776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.10 : 1,470.78 = 517.68 : x
  2. Step 2: Convert to fraction form
    980.10/1,470.78 = 517.68/x
  3. Step 3: Cross multiply
    980.10x = 1,470.78 × 517.68
  4. Step 4: Simplify right side
    980.10x = 761,393.39
  5. Step 5: Solve for x
    x = 761,393.39/980.10
  6. Step 6: Final answer
    x = 776.85

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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.