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Finding the Fourth Proportional to 845.83, 1,266.09 and 538.03

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Solution

The fourth proportional to 845.83, 1,266.09 and 538.03 is: 805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.83 : 1,266.09 = 538.03 : x
  2. Step 2: Convert to fraction form
    845.83/1,266.09 = 538.03/x
  3. Step 3: Cross multiply
    845.83x = 1,266.09 × 538.03
  4. Step 4: Simplify right side
    845.83x = 681,194.40
  5. Step 5: Solve for x
    x = 681,194.40/845.83
  6. Step 6: Final answer
    x = 805.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.