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Finding the Fourth Proportional to 1,425.42, 2,135.12 and 729.97

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Solution

The fourth proportional to 1,425.42, 2,135.12 and 729.97 is: 1,093.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.42 : 2,135.12 = 729.97 : x
  2. Step 2: Convert to fraction form
    1,425.42/2,135.12 = 729.97/x
  3. Step 3: Cross multiply
    1,425.42x = 2,135.12 × 729.97
  4. Step 4: Simplify right side
    1,425.42x = 1,558,564.56
  5. Step 5: Solve for x
    x = 1,558,564.56/1,425.42
  6. Step 6: Final answer
    x = 1,093.41

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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.