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Finding the Fourth Proportional to 1,793.40, 2,689.78 and 494.56

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Solution

The fourth proportional to 1,793.40, 2,689.78 and 494.56 is: 741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.40 : 2,689.78 = 494.56 : x
  2. Step 2: Convert to fraction form
    1,793.40/2,689.78 = 494.56/x
  3. Step 3: Cross multiply
    1,793.40x = 2,689.78 × 494.56
  4. Step 4: Simplify right side
    1,793.40x = 1,330,257.60
  5. Step 5: Solve for x
    x = 1,330,257.60/1,793.40
  6. Step 6: Final answer
    x = 741.75

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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.