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Finding the Fourth Proportional to 629.86, 866.12 and 546.82

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Solution

The fourth proportional to 629.86, 866.12 and 546.82 is: 751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.86 : 866.12 = 546.82 : x
  2. Step 2: Convert to fraction form
    629.86/866.12 = 546.82/x
  3. Step 3: Cross multiply
    629.86x = 866.12 × 546.82
  4. Step 4: Simplify right side
    629.86x = 473,604.67
  5. Step 5: Solve for x
    x = 473,604.67/629.86
  6. Step 6: Final answer
    x = 751.92

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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.