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Finding the Fourth Proportional to 1,429.27, 1,972.29 and 839.73

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Solution

The fourth proportional to 1,429.27, 1,972.29 and 839.73 is: 1,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.27 : 1,972.29 = 839.73 : x
  2. Step 2: Convert to fraction form
    1,429.27/1,972.29 = 839.73/x
  3. Step 3: Cross multiply
    1,429.27x = 1,972.29 × 839.73
  4. Step 4: Simplify right side
    1,429.27x = 1,656,191.08
  5. Step 5: Solve for x
    x = 1,656,191.08/1,429.27
  6. Step 6: Final answer
    x = 1,158.77

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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.