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Finding the Fourth Proportional to 1,471.46, 2,206.92 and 431.24

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Solution

The fourth proportional to 1,471.46, 2,206.92 and 431.24 is: 646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.46 : 2,206.92 = 431.24 : x
  2. Step 2: Convert to fraction form
    1,471.46/2,206.92 = 431.24/x
  3. Step 3: Cross multiply
    1,471.46x = 2,206.92 × 431.24
  4. Step 4: Simplify right side
    1,471.46x = 951,712.18
  5. Step 5: Solve for x
    x = 951,712.18/1,471.46
  6. Step 6: Final answer
    x = 646.78

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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.