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Finding the Fourth Proportional to 1,381.69, 2,072.26 and 515.71

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Solution

The fourth proportional to 1,381.69, 2,072.26 and 515.71 is: 773.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.69 : 2,072.26 = 515.71 : x
  2. Step 2: Convert to fraction form
    1,381.69/2,072.26 = 515.71/x
  3. Step 3: Cross multiply
    1,381.69x = 2,072.26 × 515.71
  4. Step 4: Simplify right side
    1,381.69x = 1,068,673.55
  5. Step 5: Solve for x
    x = 1,068,673.55/1,381.69
  6. Step 6: Final answer
    x = 773.46

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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.