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Finding the Fourth Proportional to 739.91, 1,021.07 and 408.35

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Solution

The fourth proportional to 739.91, 1,021.07 and 408.35 is: 563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.91 : 1,021.07 = 408.35 : x
  2. Step 2: Convert to fraction form
    739.91/1,021.07 = 408.35/x
  3. Step 3: Cross multiply
    739.91x = 1,021.07 × 408.35
  4. Step 4: Simplify right side
    739.91x = 416,954.45
  5. Step 5: Solve for x
    x = 416,954.45/739.91
  6. Step 6: Final answer
    x = 563.52

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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.