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Finding the Fourth Proportional to 845.67, 1,268.23 and 499.17

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Solution

The fourth proportional to 845.67, 1,268.23 and 499.17 is: 748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.67 : 1,268.23 = 499.17 : x
  2. Step 2: Convert to fraction form
    845.67/1,268.23 = 499.17/x
  3. Step 3: Cross multiply
    845.67x = 1,268.23 × 499.17
  4. Step 4: Simplify right side
    845.67x = 633,062.37
  5. Step 5: Solve for x
    x = 633,062.37/845.67
  6. Step 6: Final answer
    x = 748.59

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Why These Related Problems?

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