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Finding the Fourth Proportional to 1,139.38, 1,709.11 and 359.39

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Solution

The fourth proportional to 1,139.38, 1,709.11 and 359.39 is: 539.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.38 : 1,709.11 = 359.39 : x
  2. Step 2: Convert to fraction form
    1,139.38/1,709.11 = 359.39/x
  3. Step 3: Cross multiply
    1,139.38x = 1,709.11 × 359.39
  4. Step 4: Simplify right side
    1,139.38x = 614,233.67
  5. Step 5: Solve for x
    x = 614,233.67/1,139.38
  6. Step 6: Final answer
    x = 539.09

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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.