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Finding the Fourth Proportional to 601.82, 829.94 and 523.08

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Solution

The fourth proportional to 601.82, 829.94 and 523.08 is: 721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.82 : 829.94 = 523.08 : x
  2. Step 2: Convert to fraction form
    601.82/829.94 = 523.08/x
  3. Step 3: Cross multiply
    601.82x = 829.94 × 523.08
  4. Step 4: Simplify right side
    601.82x = 434,125.02
  5. Step 5: Solve for x
    x = 434,125.02/601.82
  6. Step 6: Final answer
    x = 721.35

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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.