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Finding the Fourth Proportional to 601.35, 832.05 and 523.89

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Solution

The fourth proportional to 601.35, 832.05 and 523.89 is: 724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.35 : 832.05 = 523.89 : x
  2. Step 2: Convert to fraction form
    601.35/832.05 = 523.89/x
  3. Step 3: Cross multiply
    601.35x = 832.05 × 523.89
  4. Step 4: Simplify right side
    601.35x = 435,902.67
  5. Step 5: Solve for x
    x = 435,902.67/601.35
  6. Step 6: Final answer
    x = 724.87

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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.