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Finding the Fourth Proportional to 1,377.41, 2,066.43 and 453.04

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Solution

The fourth proportional to 1,377.41, 2,066.43 and 453.04 is: 679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.41 : 2,066.43 = 453.04 : x
  2. Step 2: Convert to fraction form
    1,377.41/2,066.43 = 453.04/x
  3. Step 3: Cross multiply
    1,377.41x = 2,066.43 × 453.04
  4. Step 4: Simplify right side
    1,377.41x = 936,175.45
  5. Step 5: Solve for x
    x = 936,175.45/1,377.41
  6. Step 6: Final answer
    x = 679.66

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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.