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Finding the Fourth Proportional to 845.80, 1,166.31 and 580.63

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Solution

The fourth proportional to 845.80, 1,166.31 and 580.63 is: 800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.80 : 1,166.31 = 580.63 : x
  2. Step 2: Convert to fraction form
    845.80/1,166.31 = 580.63/x
  3. Step 3: Cross multiply
    845.80x = 1,166.31 × 580.63
  4. Step 4: Simplify right side
    845.80x = 677,194.58
  5. Step 5: Solve for x
    x = 677,194.58/845.80
  6. Step 6: Final answer
    x = 800.66

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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.