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Finding the Fourth Proportional to 1,275.45, 1,912.77 and 453.84

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Solution

The fourth proportional to 1,275.45, 1,912.77 and 453.84 is: 680.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.45 : 1,912.77 = 453.84 : x
  2. Step 2: Convert to fraction form
    1,275.45/1,912.77 = 453.84/x
  3. Step 3: Cross multiply
    1,275.45x = 1,912.77 × 453.84
  4. Step 4: Simplify right side
    1,275.45x = 868,091.54
  5. Step 5: Solve for x
    x = 868,091.54/1,275.45
  6. Step 6: Final answer
    x = 680.62

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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.