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Finding the Fourth Proportional to 739.41, 1,020.34 and 477.42

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Solution

The fourth proportional to 739.41, 1,020.34 and 477.42 is: 658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.41 : 1,020.34 = 477.42 : x
  2. Step 2: Convert to fraction form
    739.41/1,020.34 = 477.42/x
  3. Step 3: Cross multiply
    739.41x = 1,020.34 × 477.42
  4. Step 4: Simplify right side
    739.41x = 487,131.32
  5. Step 5: Solve for x
    x = 487,131.32/739.41
  6. Step 6: Final answer
    x = 658.81

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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.