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Finding the Fourth Proportional to 1,734.59, 2,601.90 and 694.68

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Solution

The fourth proportional to 1,734.59, 2,601.90 and 694.68 is: 1,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.59 : 2,601.90 = 694.68 : x
  2. Step 2: Convert to fraction form
    1,734.59/2,601.90 = 694.68/x
  3. Step 3: Cross multiply
    1,734.59x = 2,601.90 × 694.68
  4. Step 4: Simplify right side
    1,734.59x = 1,807,487.89
  5. Step 5: Solve for x
    x = 1,807,487.89/1,734.59
  6. Step 6: Final answer
    x = 1,042.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.