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Finding the Fourth Proportional to 842.88, 1,263.66 and 380.64

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Solution

The fourth proportional to 842.88, 1,263.66 and 380.64 is: 570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.88 : 1,263.66 = 380.64 : x
  2. Step 2: Convert to fraction form
    842.88/1,263.66 = 380.64/x
  3. Step 3: Cross multiply
    842.88x = 1,263.66 × 380.64
  4. Step 4: Simplify right side
    842.88x = 480,999.54
  5. Step 5: Solve for x
    x = 480,999.54/842.88
  6. Step 6: Final answer
    x = 570.66

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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.