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Finding the Fourth Proportional to 1,376.38, 2,064.06 and 451.72

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Solution

The fourth proportional to 1,376.38, 2,064.06 and 451.72 is: 677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.38 : 2,064.06 = 451.72 : x
  2. Step 2: Convert to fraction form
    1,376.38/2,064.06 = 451.72/x
  3. Step 3: Cross multiply
    1,376.38x = 2,064.06 × 451.72
  4. Step 4: Simplify right side
    1,376.38x = 932,377.18
  5. Step 5: Solve for x
    x = 932,377.18/1,376.38
  6. Step 6: Final answer
    x = 677.41

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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.