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Finding the Fourth Proportional to 842.45, 1,263.11 and 294.56

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Solution

The fourth proportional to 842.45, 1,263.11 and 294.56 is: 441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.45 : 1,263.11 = 294.56 : x
  2. Step 2: Convert to fraction form
    842.45/1,263.11 = 294.56/x
  3. Step 3: Cross multiply
    842.45x = 1,263.11 × 294.56
  4. Step 4: Simplify right side
    842.45x = 372,062.60
  5. Step 5: Solve for x
    x = 372,062.60/842.45
  6. Step 6: Final answer
    x = 441.64

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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.