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Finding the Fourth Proportional to 1,388.61, 2,083.69 and 739.33

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Solution

The fourth proportional to 1,388.61, 2,083.69 and 739.33 is: 1,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.61 : 2,083.69 = 739.33 : x
  2. Step 2: Convert to fraction form
    1,388.61/2,083.69 = 739.33/x
  3. Step 3: Cross multiply
    1,388.61x = 2,083.69 × 739.33
  4. Step 4: Simplify right side
    1,388.61x = 1,540,530.24
  5. Step 5: Solve for x
    x = 1,540,530.24/1,388.61
  6. Step 6: Final answer
    x = 1,109.40

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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.