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Finding the Fourth Proportional to 845.21, 1,261.95 and 836.88

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Solution

The fourth proportional to 845.21, 1,261.95 and 836.88 is: 1,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.21 : 1,261.95 = 836.88 : x
  2. Step 2: Convert to fraction form
    845.21/1,261.95 = 836.88/x
  3. Step 3: Cross multiply
    845.21x = 1,261.95 × 836.88
  4. Step 4: Simplify right side
    845.21x = 1,056,100.72
  5. Step 5: Solve for x
    x = 1,056,100.72/845.21
  6. Step 6: Final answer
    x = 1,249.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.