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Finding the Fourth Proportional to 837.61, 1,255.03 and 593.60

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Solution

The fourth proportional to 837.61, 1,255.03 and 593.60 is: 889.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.61 : 1,255.03 = 593.60 : x
  2. Step 2: Convert to fraction form
    837.61/1,255.03 = 593.60/x
  3. Step 3: Cross multiply
    837.61x = 1,255.03 × 593.60
  4. Step 4: Simplify right side
    837.61x = 744,978.05
  5. Step 5: Solve for x
    x = 744,978.05/837.61
  6. Step 6: Final answer
    x = 889.41

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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.