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Finding the Fourth Proportional to 806.22, 1,111.29 and 543.78

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Solution

The fourth proportional to 806.22, 1,111.29 and 543.78 is: 749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.22 : 1,111.29 = 543.78 : x
  2. Step 2: Convert to fraction form
    806.22/1,111.29 = 543.78/x
  3. Step 3: Cross multiply
    806.22x = 1,111.29 × 543.78
  4. Step 4: Simplify right side
    806.22x = 604,297.28
  5. Step 5: Solve for x
    x = 604,297.28/806.22
  6. Step 6: Final answer
    x = 749.54

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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.