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Finding the Fourth Proportional to 628.86, 944.66 and 546.85

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Solution

The fourth proportional to 628.86, 944.66 and 546.85 is: 821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.86 : 944.66 = 546.85 : x
  2. Step 2: Convert to fraction form
    628.86/944.66 = 546.85/x
  3. Step 3: Cross multiply
    628.86x = 944.66 × 546.85
  4. Step 4: Simplify right side
    628.86x = 516,589.87
  5. Step 5: Solve for x
    x = 516,589.87/628.86
  6. Step 6: Final answer
    x = 821.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.