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Finding the Fourth Proportional to 981.64, 1,471.02 and 494.02

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Solution

The fourth proportional to 981.64, 1,471.02 and 494.02 is: 740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.64 : 1,471.02 = 494.02 : x
  2. Step 2: Convert to fraction form
    981.64/1,471.02 = 494.02/x
  3. Step 3: Cross multiply
    981.64x = 1,471.02 × 494.02
  4. Step 4: Simplify right side
    981.64x = 726,713.30
  5. Step 5: Solve for x
    x = 726,713.30/981.64
  6. Step 6: Final answer
    x = 740.31

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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.