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Finding the Fourth Proportional to 845.13, 1,267.82 and 383.03

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Solution

The fourth proportional to 845.13, 1,267.82 and 383.03 is: 574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.13 : 1,267.82 = 383.03 : x
  2. Step 2: Convert to fraction form
    845.13/1,267.82 = 383.03/x
  3. Step 3: Cross multiply
    845.13x = 1,267.82 × 383.03
  4. Step 4: Simplify right side
    845.13x = 485,611.03
  5. Step 5: Solve for x
    x = 485,611.03/845.13
  6. Step 6: Final answer
    x = 574.60

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