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Finding the Fourth Proportional to 805.36, 1,112.43 and 556.24

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Solution

The fourth proportional to 805.36, 1,112.43 and 556.24 is: 768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.36 : 1,112.43 = 556.24 : x
  2. Step 2: Convert to fraction form
    805.36/1,112.43 = 556.24/x
  3. Step 3: Cross multiply
    805.36x = 1,112.43 × 556.24
  4. Step 4: Simplify right side
    805.36x = 618,778.06
  5. Step 5: Solve for x
    x = 618,778.06/805.36
  6. Step 6: Final answer
    x = 768.32

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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.