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Finding the Fourth Proportional to 1,067.02, 1,598.22 and 518.04

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Solution

The fourth proportional to 1,067.02, 1,598.22 and 518.04 is: 775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.02 : 1,598.22 = 518.04 : x
  2. Step 2: Convert to fraction form
    1,067.02/1,598.22 = 518.04/x
  3. Step 3: Cross multiply
    1,067.02x = 1,598.22 × 518.04
  4. Step 4: Simplify right side
    1,067.02x = 827,941.89
  5. Step 5: Solve for x
    x = 827,941.89/1,067.02
  6. Step 6: Final answer
    x = 775.94

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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.