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Finding the Fourth Proportional to 1,359.10, 2,038.97 and 537.31

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Solution

The fourth proportional to 1,359.10, 2,038.97 and 537.31 is: 806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.10 : 2,038.97 = 537.31 : x
  2. Step 2: Convert to fraction form
    1,359.10/2,038.97 = 537.31/x
  3. Step 3: Cross multiply
    1,359.10x = 2,038.97 × 537.31
  4. Step 4: Simplify right side
    1,359.10x = 1,095,558.97
  5. Step 5: Solve for x
    x = 1,095,558.97/1,359.10
  6. Step 6: Final answer
    x = 806.09

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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.