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Finding the Fourth Proportional to 805.22, 1,207.81 and 541.07

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Solution

The fourth proportional to 805.22, 1,207.81 and 541.07 is: 811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.22 : 1,207.81 = 541.07 : x
  2. Step 2: Convert to fraction form
    805.22/1,207.81 = 541.07/x
  3. Step 3: Cross multiply
    805.22x = 1,207.81 × 541.07
  4. Step 4: Simplify right side
    805.22x = 653,502.36
  5. Step 5: Solve for x
    x = 653,502.36/805.22
  6. Step 6: Final answer
    x = 811.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.