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Finding the Fourth Proportional to 980.40, 1,471.14 and 656.40

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Solution

The fourth proportional to 980.40, 1,471.14 and 656.40 is: 984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.40 : 1,471.14 = 656.40 : x
  2. Step 2: Convert to fraction form
    980.40/1,471.14 = 656.40/x
  3. Step 3: Cross multiply
    980.40x = 1,471.14 × 656.40
  4. Step 4: Simplify right side
    980.40x = 965,656.30
  5. Step 5: Solve for x
    x = 965,656.30/980.40
  6. Step 6: Final answer
    x = 984.96

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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.