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Finding the Fourth Proportional to 601.82, 834.07 and 592.70

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Solution

The fourth proportional to 601.82, 834.07 and 592.70 is: 821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.82 : 834.07 = 592.70 : x
  2. Step 2: Convert to fraction form
    601.82/834.07 = 592.70/x
  3. Step 3: Cross multiply
    601.82x = 834.07 × 592.70
  4. Step 4: Simplify right side
    601.82x = 494,353.29
  5. Step 5: Solve for x
    x = 494,353.29/601.82
  6. Step 6: Final answer
    x = 821.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.