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Finding the Fourth Proportional to 601.25, 827.97 and 575.96

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Solution

The fourth proportional to 601.25, 827.97 and 575.96 is: 793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.25 : 827.97 = 575.96 : x
  2. Step 2: Convert to fraction form
    601.25/827.97 = 575.96/x
  3. Step 3: Cross multiply
    601.25x = 827.97 × 575.96
  4. Step 4: Simplify right side
    601.25x = 476,877.60
  5. Step 5: Solve for x
    x = 476,877.60/601.25
  6. Step 6: Final answer
    x = 793.14

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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.