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Finding the Fourth Proportional to 835.97, 1,153.44 and 504.27

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Solution

The fourth proportional to 835.97, 1,153.44 and 504.27 is: 695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.97 : 1,153.44 = 504.27 : x
  2. Step 2: Convert to fraction form
    835.97/1,153.44 = 504.27/x
  3. Step 3: Cross multiply
    835.97x = 1,153.44 × 504.27
  4. Step 4: Simplify right side
    835.97x = 581,645.19
  5. Step 5: Solve for x
    x = 581,645.19/835.97
  6. Step 6: Final answer
    x = 695.77

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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.