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Finding the Fourth Proportional to 805.43, 1,201.60 and 795.07

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Solution

The fourth proportional to 805.43, 1,201.60 and 795.07 is: 1,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.43 : 1,201.60 = 795.07 : x
  2. Step 2: Convert to fraction form
    805.43/1,201.60 = 795.07/x
  3. Step 3: Cross multiply
    805.43x = 1,201.60 × 795.07
  4. Step 4: Simplify right side
    805.43x = 955,348.49
  5. Step 5: Solve for x
    x = 955,348.49/805.43
  6. Step 6: Final answer
    x = 1,186.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.