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Finding the Fourth Proportional to 1,378.47, 2,068 and 453.99

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Solution

The fourth proportional to 1,378.47, 2,068 and 453.99 is: 681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.47 : 2,068 = 453.99 : x
  2. Step 2: Convert to fraction form
    1,378.47/2,068 = 453.99/x
  3. Step 3: Cross multiply
    1,378.47x = 2,068 × 453.99
  4. Step 4: Simplify right side
    1,378.47x = 938,840.98
  5. Step 5: Solve for x
    x = 938,840.98/1,378.47
  6. Step 6: Final answer
    x = 681.08

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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.