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Finding the Fourth Proportional to 1,139.82, 1,709.73 and 274.13

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Solution

The fourth proportional to 1,139.82, 1,709.73 and 274.13 is: 411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.82 : 1,709.73 = 274.13 : x
  2. Step 2: Convert to fraction form
    1,139.82/1,709.73 = 274.13/x
  3. Step 3: Cross multiply
    1,139.82x = 1,709.73 × 274.13
  4. Step 4: Simplify right side
    1,139.82x = 468,692.56
  5. Step 5: Solve for x
    x = 468,692.56/1,139.82
  6. Step 6: Final answer
    x = 411.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.