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Finding the Fourth Proportional to 980.71, 1,471.84 and 865.37

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Solution

The fourth proportional to 980.71, 1,471.84 and 865.37 is: 1,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.71 : 1,471.84 = 865.37 : x
  2. Step 2: Convert to fraction form
    980.71/1,471.84 = 865.37/x
  3. Step 3: Cross multiply
    980.71x = 1,471.84 × 865.37
  4. Step 4: Simplify right side
    980.71x = 1,273,687.70
  5. Step 5: Solve for x
    x = 1,273,687.70/980.71
  6. Step 6: Final answer
    x = 1,298.74

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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.