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Finding the Fourth Proportional to 1,350.31, 1,863.43 and 729.31

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Solution

The fourth proportional to 1,350.31, 1,863.43 and 729.31 is: 1,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.31 : 1,863.43 = 729.31 : x
  2. Step 2: Convert to fraction form
    1,350.31/1,863.43 = 729.31/x
  3. Step 3: Cross multiply
    1,350.31x = 1,863.43 × 729.31
  4. Step 4: Simplify right side
    1,350.31x = 1,359,013.52
  5. Step 5: Solve for x
    x = 1,359,013.52/1,350.31
  6. Step 6: Final answer
    x = 1,006.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.