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Finding the Fourth Proportional to 629.77, 867.90 and 601.42

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Solution

The fourth proportional to 629.77, 867.90 and 601.42 is: 828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.77 : 867.90 = 601.42 : x
  2. Step 2: Convert to fraction form
    629.77/867.90 = 601.42/x
  3. Step 3: Cross multiply
    629.77x = 867.90 × 601.42
  4. Step 4: Simplify right side
    629.77x = 521,972.42
  5. Step 5: Solve for x
    x = 521,972.42/629.77
  6. Step 6: Final answer
    x = 828.83

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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.