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Finding the Fourth Proportional to 1,471.09, 2,206.64 and 431.12

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Solution

The fourth proportional to 1,471.09, 2,206.64 and 431.12 is: 646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.09 : 2,206.64 = 431.12 : x
  2. Step 2: Convert to fraction form
    1,471.09/2,206.64 = 431.12/x
  3. Step 3: Cross multiply
    1,471.09x = 2,206.64 × 431.12
  4. Step 4: Simplify right side
    1,471.09x = 951,318.96
  5. Step 5: Solve for x
    x = 951,318.96/1,471.09
  6. Step 6: Final answer
    x = 646.68

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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.