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Finding the Fourth Proportional to 1,286.29, 1,930.23 and 593.06

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Solution

The fourth proportional to 1,286.29, 1,930.23 and 593.06 is: 889.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.29 : 1,930.23 = 593.06 : x
  2. Step 2: Convert to fraction form
    1,286.29/1,930.23 = 593.06/x
  3. Step 3: Cross multiply
    1,286.29x = 1,930.23 × 593.06
  4. Step 4: Simplify right side
    1,286.29x = 1,144,732.55
  5. Step 5: Solve for x
    x = 1,144,732.55/1,286.29
  6. Step 6: Final answer
    x = 889.95

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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.