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Finding the Fourth Proportional to 1,139.61, 1,573.25 and 789.69

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Solution

The fourth proportional to 1,139.61, 1,573.25 and 789.69 is: 1,090.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.61 : 1,573.25 = 789.69 : x
  2. Step 2: Convert to fraction form
    1,139.61/1,573.25 = 789.69/x
  3. Step 3: Cross multiply
    1,139.61x = 1,573.25 × 789.69
  4. Step 4: Simplify right side
    1,139.61x = 1,242,375.84
  5. Step 5: Solve for x
    x = 1,242,375.84/1,139.61
  6. Step 6: Final answer
    x = 1,090.18

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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.