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Finding the Fourth Proportional to 1,039.05, 1,433.57 and 640.89

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Solution

The fourth proportional to 1,039.05, 1,433.57 and 640.89 is: 884.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.05 : 1,433.57 = 640.89 : x
  2. Step 2: Convert to fraction form
    1,039.05/1,433.57 = 640.89/x
  3. Step 3: Cross multiply
    1,039.05x = 1,433.57 × 640.89
  4. Step 4: Simplify right side
    1,039.05x = 918,757.47
  5. Step 5: Solve for x
    x = 918,757.47/1,039.05
  6. Step 6: Final answer
    x = 884.23

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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.