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Finding the Fourth Proportional to 1,381.59, 2,072.41 and 559.69

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Solution

The fourth proportional to 1,381.59, 2,072.41 and 559.69 is: 839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.59 : 2,072.41 = 559.69 : x
  2. Step 2: Convert to fraction form
    1,381.59/2,072.41 = 559.69/x
  3. Step 3: Cross multiply
    1,381.59x = 2,072.41 × 559.69
  4. Step 4: Simplify right side
    1,381.59x = 1,159,900.57
  5. Step 5: Solve for x
    x = 1,159,900.57/1,381.59
  6. Step 6: Final answer
    x = 839.54

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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.