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Finding the Fourth Proportional to 1,593.44, 2,389.26 and 497.48

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Solution

The fourth proportional to 1,593.44, 2,389.26 and 497.48 is: 745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.44 : 2,389.26 = 497.48 : x
  2. Step 2: Convert to fraction form
    1,593.44/2,389.26 = 497.48/x
  3. Step 3: Cross multiply
    1,593.44x = 2,389.26 × 497.48
  4. Step 4: Simplify right side
    1,593.44x = 1,188,609.06
  5. Step 5: Solve for x
    x = 1,188,609.06/1,593.44
  6. Step 6: Final answer
    x = 745.94

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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.