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Finding the Fourth Proportional to 1,589.11, 2,383.74 and 493.49

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Solution

The fourth proportional to 1,589.11, 2,383.74 and 493.49 is: 740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.11 : 2,383.74 = 493.49 : x
  2. Step 2: Convert to fraction form
    1,589.11/2,383.74 = 493.49/x
  3. Step 3: Cross multiply
    1,589.11x = 2,383.74 × 493.49
  4. Step 4: Simplify right side
    1,589.11x = 1,176,351.85
  5. Step 5: Solve for x
    x = 1,176,351.85/1,589.11
  6. Step 6: Final answer
    x = 740.26

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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.