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Finding the Fourth Proportional to 820, 1,131.58 and 446.97

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Solution

The fourth proportional to 820, 1,131.58 and 446.97 is: 616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    820 : 1,131.58 = 446.97 : x
  2. Step 2: Convert to fraction form
    820/1,131.58 = 446.97/x
  3. Step 3: Cross multiply
    820x = 1,131.58 × 446.97
  4. Step 4: Simplify right side
    820x = 505,782.31
  5. Step 5: Solve for x
    x = 505,782.31/820
  6. Step 6: Final answer
    x = 616.81

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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.