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Finding the Fourth Proportional to 1,139.31, 1,571.34 and 859.59

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Solution

The fourth proportional to 1,139.31, 1,571.34 and 859.59 is: 1,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.31 : 1,571.34 = 859.59 : x
  2. Step 2: Convert to fraction form
    1,139.31/1,571.34 = 859.59/x
  3. Step 3: Cross multiply
    1,139.31x = 1,571.34 × 859.59
  4. Step 4: Simplify right side
    1,139.31x = 1,350,708.15
  5. Step 5: Solve for x
    x = 1,350,708.15/1,139.31
  6. Step 6: Final answer
    x = 1,185.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.