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Finding the Fourth Proportional to 845.82, 1,269 and 383.76

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Solution

The fourth proportional to 845.82, 1,269 and 383.76 is: 575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.82 : 1,269 = 383.76 : x
  2. Step 2: Convert to fraction form
    845.82/1,269 = 383.76/x
  3. Step 3: Cross multiply
    845.82x = 1,269 × 383.76
  4. Step 4: Simplify right side
    845.82x = 486,991.44
  5. Step 5: Solve for x
    x = 486,991.44/845.82
  6. Step 6: Final answer
    x = 575.76

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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.