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Finding the Fourth Proportional to 845.72, 1,268.50 and 406.88

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Solution

The fourth proportional to 845.72, 1,268.50 and 406.88 is: 610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.72 : 1,268.50 = 406.88 : x
  2. Step 2: Convert to fraction form
    845.72/1,268.50 = 406.88/x
  3. Step 3: Cross multiply
    845.72x = 1,268.50 × 406.88
  4. Step 4: Simplify right side
    845.72x = 516,127.28
  5. Step 5: Solve for x
    x = 516,127.28/845.72
  6. Step 6: Final answer
    x = 610.28

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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.