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Finding the Fourth Proportional to 1,217.43, 1,826.69 and 447.75

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Solution

The fourth proportional to 1,217.43, 1,826.69 and 447.75 is: 671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.43 : 1,826.69 = 447.75 : x
  2. Step 2: Convert to fraction form
    1,217.43/1,826.69 = 447.75/x
  3. Step 3: Cross multiply
    1,217.43x = 1,826.69 × 447.75
  4. Step 4: Simplify right side
    1,217.43x = 817,898.21
  5. Step 5: Solve for x
    x = 817,898.21/1,217.43
  6. Step 6: Final answer
    x = 671.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.