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Finding the Fourth Proportional to 816.33, 1,126.54 and 443.31

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Solution

The fourth proportional to 816.33, 1,126.54 and 443.31 is: 611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.33 : 1,126.54 = 443.31 : x
  2. Step 2: Convert to fraction form
    816.33/1,126.54 = 443.31/x
  3. Step 3: Cross multiply
    816.33x = 1,126.54 × 443.31
  4. Step 4: Simplify right side
    816.33x = 499,406.45
  5. Step 5: Solve for x
    x = 499,406.45/816.33
  6. Step 6: Final answer
    x = 611.77

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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.