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Finding the Fourth Proportional to 1,381.14, 2,071.26 and 515.25

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Solution

The fourth proportional to 1,381.14, 2,071.26 and 515.25 is: 772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.14 : 2,071.26 = 515.25 : x
  2. Step 2: Convert to fraction form
    1,381.14/2,071.26 = 515.25/x
  3. Step 3: Cross multiply
    1,381.14x = 2,071.26 × 515.25
  4. Step 4: Simplify right side
    1,381.14x = 1,067,216.72
  5. Step 5: Solve for x
    x = 1,067,216.72/1,381.14
  6. Step 6: Final answer
    x = 772.71

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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.