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Finding the Fourth Proportional to 1,378.25, 2,066.87 and 453.54

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Solution

The fourth proportional to 1,378.25, 2,066.87 and 453.54 is: 680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.25 : 2,066.87 = 453.54 : x
  2. Step 2: Convert to fraction form
    1,378.25/2,066.87 = 453.54/x
  3. Step 3: Cross multiply
    1,378.25x = 2,066.87 × 453.54
  4. Step 4: Simplify right side
    1,378.25x = 937,405.95
  5. Step 5: Solve for x
    x = 937,405.95/1,378.25
  6. Step 6: Final answer
    x = 680.14

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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.