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Finding the Fourth Proportional to 837.57, 1,155.26 and 523.00

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Solution

The fourth proportional to 837.57, 1,155.26 and 523.00 is: 721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.57 : 1,155.26 = 523.00 : x
  2. Step 2: Convert to fraction form
    837.57/1,155.26 = 523.00/x
  3. Step 3: Cross multiply
    837.57x = 1,155.26 × 523.00
  4. Step 4: Simplify right side
    837.57x = 604,195.48
  5. Step 5: Solve for x
    x = 604,195.48/837.57
  6. Step 6: Final answer
    x = 721.37

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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.