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Finding the Fourth Proportional to 845.00, 1,267.75 and 382.84

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Solution

The fourth proportional to 845.00, 1,267.75 and 382.84 is: 574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.00 : 1,267.75 = 382.84 : x
  2. Step 2: Convert to fraction form
    845.00/1,267.75 = 382.84/x
  3. Step 3: Cross multiply
    845.00x = 1,267.75 × 382.84
  4. Step 4: Simplify right side
    845.00x = 485,349.85
  5. Step 5: Solve for x
    x = 485,349.85/845.00
  6. Step 6: Final answer
    x = 574.38

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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.