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Finding the Fourth Proportional to 1,378.14, 2,066.78 and 453.45

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Solution

The fourth proportional to 1,378.14, 2,066.78 and 453.45 is: 680.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.14 : 2,066.78 = 453.45 : x
  2. Step 2: Convert to fraction form
    1,378.14/2,066.78 = 453.45/x
  3. Step 3: Cross multiply
    1,378.14x = 2,066.78 × 453.45
  4. Step 4: Simplify right side
    1,378.14x = 937,188.36
  5. Step 5: Solve for x
    x = 937,188.36/1,378.14
  6. Step 6: Final answer
    x = 680.04

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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.