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Finding the Fourth Proportional to 845.50, 1,166.79 and 491.44

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Solution

The fourth proportional to 845.50, 1,166.79 and 491.44 is: 678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.50 : 1,166.79 = 491.44 : x
  2. Step 2: Convert to fraction form
    845.50/1,166.79 = 491.44/x
  3. Step 3: Cross multiply
    845.50x = 1,166.79 × 491.44
  4. Step 4: Simplify right side
    845.50x = 573,407.28
  5. Step 5: Solve for x
    x = 573,407.28/845.50
  6. Step 6: Final answer
    x = 678.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.