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Finding the Fourth Proportional to 845.94, 1,166.76 and 610.23

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Solution

The fourth proportional to 845.94, 1,166.76 and 610.23 is: 841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.94 : 1,166.76 = 610.23 : x
  2. Step 2: Convert to fraction form
    845.94/1,166.76 = 610.23/x
  3. Step 3: Cross multiply
    845.94x = 1,166.76 × 610.23
  4. Step 4: Simplify right side
    845.94x = 711,991.95
  5. Step 5: Solve for x
    x = 711,991.95/845.94
  6. Step 6: Final answer
    x = 841.66

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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.