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Finding the Fourth Proportional to 980.21, 1,471.67 and 650.18

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Solution

The fourth proportional to 980.21, 1,471.67 and 650.18 is: 976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.21 : 1,471.67 = 650.18 : x
  2. Step 2: Convert to fraction form
    980.21/1,471.67 = 650.18/x
  3. Step 3: Cross multiply
    980.21x = 1,471.67 × 650.18
  4. Step 4: Simplify right side
    980.21x = 956,839.79
  5. Step 5: Solve for x
    x = 956,839.79/980.21
  6. Step 6: Final answer
    x = 976.16

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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.