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Finding the Fourth Proportional to 1,199.68, 1,798.82 and 1,005.90

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Solution

The fourth proportional to 1,199.68, 1,798.82 and 1,005.90 is: 1,508.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.68 : 1,798.82 = 1,005.90 : x
  2. Step 2: Convert to fraction form
    1,199.68/1,798.82 = 1,005.90/x
  3. Step 3: Cross multiply
    1,199.68x = 1,798.82 × 1,005.90
  4. Step 4: Simplify right side
    1,199.68x = 1,809,433.04
  5. Step 5: Solve for x
    x = 1,809,433.04/1,199.68
  6. Step 6: Final answer
    x = 1,508.26

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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.