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Finding the Fourth Proportional to 739.96, 1,021.17 and 408.40

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Solution

The fourth proportional to 739.96, 1,021.17 and 408.40 is: 563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.96 : 1,021.17 = 408.40 : x
  2. Step 2: Convert to fraction form
    739.96/1,021.17 = 408.40/x
  3. Step 3: Cross multiply
    739.96x = 1,021.17 × 408.40
  4. Step 4: Simplify right side
    739.96x = 417,045.83
  5. Step 5: Solve for x
    x = 417,045.83/739.96
  6. Step 6: Final answer
    x = 563.61

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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.