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Finding the Fourth Proportional to 981.80, 1,471.58 and 494.44

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Solution

The fourth proportional to 981.80, 1,471.58 and 494.44 is: 741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.80 : 1,471.58 = 494.44 : x
  2. Step 2: Convert to fraction form
    981.80/1,471.58 = 494.44/x
  3. Step 3: Cross multiply
    981.80x = 1,471.58 × 494.44
  4. Step 4: Simplify right side
    981.80x = 727,608.02
  5. Step 5: Solve for x
    x = 727,608.02/981.80
  6. Step 6: Final answer
    x = 741.10

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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.