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Finding the Fourth Proportional to 1,067.81, 1,598.85 and 604.89

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Solution

The fourth proportional to 1,067.81, 1,598.85 and 604.89 is: 905.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.81 : 1,598.85 = 604.89 : x
  2. Step 2: Convert to fraction form
    1,067.81/1,598.85 = 604.89/x
  3. Step 3: Cross multiply
    1,067.81x = 1,598.85 × 604.89
  4. Step 4: Simplify right side
    1,067.81x = 967,128.38
  5. Step 5: Solve for x
    x = 967,128.38/1,067.81
  6. Step 6: Final answer
    x = 905.72

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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.