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Finding the Fourth Proportional to 837.92, 1,255.04 and 593.70

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Solution

The fourth proportional to 837.92, 1,255.04 and 593.70 is: 889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.92 : 1,255.04 = 593.70 : x
  2. Step 2: Convert to fraction form
    837.92/1,255.04 = 593.70/x
  3. Step 3: Cross multiply
    837.92x = 1,255.04 × 593.70
  4. Step 4: Simplify right side
    837.92x = 745,117.25
  5. Step 5: Solve for x
    x = 745,117.25/837.92
  6. Step 6: Final answer
    x = 889.25

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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.