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Finding the Fourth Proportional to 845.80, 1,167.06 and 496.48

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Solution

The fourth proportional to 845.80, 1,167.06 and 496.48 is: 685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.80 : 1,167.06 = 496.48 : x
  2. Step 2: Convert to fraction form
    845.80/1,167.06 = 496.48/x
  3. Step 3: Cross multiply
    845.80x = 1,167.06 × 496.48
  4. Step 4: Simplify right side
    845.80x = 579,421.95
  5. Step 5: Solve for x
    x = 579,421.95/845.80
  6. Step 6: Final answer
    x = 685.06

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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.