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Finding the Fourth Proportional to 725, 999.78 and 593.60

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Solution

The fourth proportional to 725, 999.78 and 593.60 is: 818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    725 : 999.78 = 593.60 : x
  2. Step 2: Convert to fraction form
    725/999.78 = 593.60/x
  3. Step 3: Cross multiply
    725x = 999.78 × 593.60
  4. Step 4: Simplify right side
    725x = 593,469.41
  5. Step 5: Solve for x
    x = 593,469.41/725
  6. Step 6: Final answer
    x = 818.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.