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Finding the Fourth Proportional to 1,436.82, 2,154.67 and 559.21

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Solution

The fourth proportional to 1,436.82, 2,154.67 and 559.21 is: 838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.82 : 2,154.67 = 559.21 : x
  2. Step 2: Convert to fraction form
    1,436.82/2,154.67 = 559.21/x
  3. Step 3: Cross multiply
    1,436.82x = 2,154.67 × 559.21
  4. Step 4: Simplify right side
    1,436.82x = 1,204,911.72
  5. Step 5: Solve for x
    x = 1,204,911.72/1,436.82
  6. Step 6: Final answer
    x = 838.59

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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.