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Finding the Fourth Proportional to 1,748.31, 2,623.05 and 708.54

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Solution

The fourth proportional to 1,748.31, 2,623.05 and 708.54 is: 1,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.31 : 2,623.05 = 708.54 : x
  2. Step 2: Convert to fraction form
    1,748.31/2,623.05 = 708.54/x
  3. Step 3: Cross multiply
    1,748.31x = 2,623.05 × 708.54
  4. Step 4: Simplify right side
    1,748.31x = 1,858,535.85
  5. Step 5: Solve for x
    x = 1,858,535.85/1,748.31
  6. Step 6: Final answer
    x = 1,063.05

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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.