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Finding the Fourth Proportional to 739.67, 1,021.23 and 477.86

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Solution

The fourth proportional to 739.67, 1,021.23 and 477.86 is: 659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.67 : 1,021.23 = 477.86 : x
  2. Step 2: Convert to fraction form
    739.67/1,021.23 = 477.86/x
  3. Step 3: Cross multiply
    739.67x = 1,021.23 × 477.86
  4. Step 4: Simplify right side
    739.67x = 487,999.86
  5. Step 5: Solve for x
    x = 487,999.86/739.67
  6. Step 6: Final answer
    x = 659.76

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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.