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Finding the Fourth Proportional to 858.82, 1,182.30 and 819.64

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Solution

The fourth proportional to 858.82, 1,182.30 and 819.64 is: 1,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.82 : 1,182.30 = 819.64 : x
  2. Step 2: Convert to fraction form
    858.82/1,182.30 = 819.64/x
  3. Step 3: Cross multiply
    858.82x = 1,182.30 × 819.64
  4. Step 4: Simplify right side
    858.82x = 969,060.37
  5. Step 5: Solve for x
    x = 969,060.37/858.82
  6. Step 6: Final answer
    x = 1,128.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.