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Finding the Fourth Proportional to 837.96, 1,155.68 and 539.26

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Solution

The fourth proportional to 837.96, 1,155.68 and 539.26 is: 743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.96 : 1,155.68 = 539.26 : x
  2. Step 2: Convert to fraction form
    837.96/1,155.68 = 539.26/x
  3. Step 3: Cross multiply
    837.96x = 1,155.68 × 539.26
  4. Step 4: Simplify right side
    837.96x = 623,208.43
  5. Step 5: Solve for x
    x = 623,208.43/837.96
  6. Step 6: Final answer
    x = 743.72

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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.