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Finding the Fourth Proportional to 1,359.31, 1,876.99 and 862.83

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Solution

The fourth proportional to 1,359.31, 1,876.99 and 862.83 is: 1,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.31 : 1,876.99 = 862.83 : x
  2. Step 2: Convert to fraction form
    1,359.31/1,876.99 = 862.83/x
  3. Step 3: Cross multiply
    1,359.31x = 1,876.99 × 862.83
  4. Step 4: Simplify right side
    1,359.31x = 1,619,513.90
  5. Step 5: Solve for x
    x = 1,619,513.90/1,359.31
  6. Step 6: Final answer
    x = 1,191.43

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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.