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Finding the Fourth Proportional to 1,139.06, 1,708.59 and 273.38

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Solution

The fourth proportional to 1,139.06, 1,708.59 and 273.38 is: 410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.06 : 1,708.59 = 273.38 : x
  2. Step 2: Convert to fraction form
    1,139.06/1,708.59 = 273.38/x
  3. Step 3: Cross multiply
    1,139.06x = 1,708.59 × 273.38
  4. Step 4: Simplify right side
    1,139.06x = 467,086.82
  5. Step 5: Solve for x
    x = 467,086.82/1,139.06
  6. Step 6: Final answer
    x = 410.06

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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.