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Finding the Fourth Proportional to 981.79, 1,471.66 and 396.79

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Solution

The fourth proportional to 981.79, 1,471.66 and 396.79 is: 594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.79 : 1,471.66 = 396.79 : x
  2. Step 2: Convert to fraction form
    981.79/1,471.66 = 396.79/x
  3. Step 3: Cross multiply
    981.79x = 1,471.66 × 396.79
  4. Step 4: Simplify right side
    981.79x = 583,939.97
  5. Step 5: Solve for x
    x = 583,939.97/981.79
  6. Step 6: Final answer
    x = 594.77

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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.