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Finding the Fourth Proportional to 1,593.20, 2,389.86 and 497.54

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Solution

The fourth proportional to 1,593.20, 2,389.86 and 497.54 is: 746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.20 : 2,389.86 = 497.54 : x
  2. Step 2: Convert to fraction form
    1,593.20/2,389.86 = 497.54/x
  3. Step 3: Cross multiply
    1,593.20x = 2,389.86 × 497.54
  4. Step 4: Simplify right side
    1,593.20x = 1,189,050.94
  5. Step 5: Solve for x
    x = 1,189,050.94/1,593.20
  6. Step 6: Final answer
    x = 746.33

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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.