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Finding the Fourth Proportional to 805.23, 1,111.17 and 451.14

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Solution

The fourth proportional to 805.23, 1,111.17 and 451.14 is: 622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.23 : 1,111.17 = 451.14 : x
  2. Step 2: Convert to fraction form
    805.23/1,111.17 = 451.14/x
  3. Step 3: Cross multiply
    805.23x = 1,111.17 × 451.14
  4. Step 4: Simplify right side
    805.23x = 501,293.23
  5. Step 5: Solve for x
    x = 501,293.23/805.23
  6. Step 6: Final answer
    x = 622.55

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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.