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Finding the Fourth Proportional to 1,471.62, 2,206.83 and 431.28

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Solution

The fourth proportional to 1,471.62, 2,206.83 and 431.28 is: 646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.62 : 2,206.83 = 431.28 : x
  2. Step 2: Convert to fraction form
    1,471.62/2,206.83 = 431.28/x
  3. Step 3: Cross multiply
    1,471.62x = 2,206.83 × 431.28
  4. Step 4: Simplify right side
    1,471.62x = 951,761.64
  5. Step 5: Solve for x
    x = 951,761.64/1,471.62
  6. Step 6: Final answer
    x = 646.74

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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.