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Finding the Fourth Proportional to 1,726.25, 2,589.46 and 493.84

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Solution

The fourth proportional to 1,726.25, 2,589.46 and 493.84 is: 740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.25 : 2,589.46 = 493.84 : x
  2. Step 2: Convert to fraction form
    1,726.25/2,589.46 = 493.84/x
  3. Step 3: Cross multiply
    1,726.25x = 2,589.46 × 493.84
  4. Step 4: Simplify right side
    1,726.25x = 1,278,778.93
  5. Step 5: Solve for x
    x = 1,278,778.93/1,726.25
  6. Step 6: Final answer
    x = 740.78

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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.