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Finding the Fourth Proportional to 740.46, 1,021.82 and 408.87

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Solution

The fourth proportional to 740.46, 1,021.82 and 408.87 is: 564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.46 : 1,021.82 = 408.87 : x
  2. Step 2: Convert to fraction form
    740.46/1,021.82 = 408.87/x
  3. Step 3: Cross multiply
    740.46x = 1,021.82 × 408.87
  4. Step 4: Simplify right side
    740.46x = 417,789.50
  5. Step 5: Solve for x
    x = 417,789.50/740.46
  6. Step 6: Final answer
    x = 564.23

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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.