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Finding the Fourth Proportional to 845.40, 1,162.17 and 726.94

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Solution

The fourth proportional to 845.40, 1,162.17 and 726.94 is: 999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.40 : 1,162.17 = 726.94 : x
  2. Step 2: Convert to fraction form
    845.40/1,162.17 = 726.94/x
  3. Step 3: Cross multiply
    845.40x = 1,162.17 × 726.94
  4. Step 4: Simplify right side
    845.40x = 844,829.68
  5. Step 5: Solve for x
    x = 844,829.68/845.40
  6. Step 6: Final answer
    x = 999.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.