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Finding the Fourth Proportional to 1,322.33, 1,819.67 and 1,006.83

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Solution

The fourth proportional to 1,322.33, 1,819.67 and 1,006.83 is: 1,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.33 : 1,819.67 = 1,006.83 : x
  2. Step 2: Convert to fraction form
    1,322.33/1,819.67 = 1,006.83/x
  3. Step 3: Cross multiply
    1,322.33x = 1,819.67 × 1,006.83
  4. Step 4: Simplify right side
    1,322.33x = 1,832,093.31
  5. Step 5: Solve for x
    x = 1,832,093.31/1,322.33
  6. Step 6: Final answer
    x = 1,385.51

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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.