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Finding the Fourth Proportional to 740.44, 1,021.82 and 408.85

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Solution

The fourth proportional to 740.44, 1,021.82 and 408.85 is: 564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.44 : 1,021.82 = 408.85 : x
  2. Step 2: Convert to fraction form
    740.44/1,021.82 = 408.85/x
  3. Step 3: Cross multiply
    740.44x = 1,021.82 × 408.85
  4. Step 4: Simplify right side
    740.44x = 417,766.51
  5. Step 5: Solve for x
    x = 417,766.51/740.44
  6. Step 6: Final answer
    x = 564.21

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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.