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Finding the Fourth Proportional to 739.91, 1,021.10 and 408.34

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Solution

The fourth proportional to 739.91, 1,021.10 and 408.34 is: 563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.91 : 1,021.10 = 408.34 : x
  2. Step 2: Convert to fraction form
    739.91/1,021.10 = 408.34/x
  3. Step 3: Cross multiply
    739.91x = 1,021.10 × 408.34
  4. Step 4: Simplify right side
    739.91x = 416,955.21
  5. Step 5: Solve for x
    x = 416,955.21/739.91
  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.