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Finding the Fourth Proportional to 980.63, 1,471.85 and 494

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Solution

The fourth proportional to 980.63, 1,471.85 and 494 is: 741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.63 : 1,471.85 = 494 : x
  2. Step 2: Convert to fraction form
    980.63/1,471.85 = 494/x
  3. Step 3: Cross multiply
    980.63x = 1,471.85 × 494
  4. Step 4: Simplify right side
    980.63x = 727,091.43
  5. Step 5: Solve for x
    x = 727,091.43/980.63
  6. Step 6: Final answer
    x = 741.45

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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.