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Finding the Fourth Proportional to 1,593.98, 2,391.26 and 498.09

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Solution

The fourth proportional to 1,593.98, 2,391.26 and 498.09 is: 747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.98 : 2,391.26 = 498.09 : x
  2. Step 2: Convert to fraction form
    1,593.98/2,391.26 = 498.09/x
  3. Step 3: Cross multiply
    1,593.98x = 2,391.26 × 498.09
  4. Step 4: Simplify right side
    1,593.98x = 1,191,062.69
  5. Step 5: Solve for x
    x = 1,191,062.69/1,593.98
  6. Step 6: Final answer
    x = 747.23

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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.