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Finding the Fourth Proportional to 1,376.02, 2,063.83 and 451.62

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Solution

The fourth proportional to 1,376.02, 2,063.83 and 451.62 is: 677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.02 : 2,063.83 = 451.62 : x
  2. Step 2: Convert to fraction form
    1,376.02/2,063.83 = 451.62/x
  3. Step 3: Cross multiply
    1,376.02x = 2,063.83 × 451.62
  4. Step 4: Simplify right side
    1,376.02x = 932,066.90
  5. Step 5: Solve for x
    x = 932,066.90/1,376.02
  6. Step 6: Final answer
    x = 677.36

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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.