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Finding the Fourth Proportional to 845.37, 1,166.45 and 491.33

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Solution

The fourth proportional to 845.37, 1,166.45 and 491.33 is: 677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.37 : 1,166.45 = 491.33 : x
  2. Step 2: Convert to fraction form
    845.37/1,166.45 = 491.33/x
  3. Step 3: Cross multiply
    845.37x = 1,166.45 × 491.33
  4. Step 4: Simplify right side
    845.37x = 573,116.02
  5. Step 5: Solve for x
    x = 573,116.02/845.37
  6. Step 6: Final answer
    x = 677.95

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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.