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Finding the Fourth Proportional to 1,359.78, 2,039.14 and 579.28

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Solution

The fourth proportional to 1,359.78, 2,039.14 and 579.28 is: 868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.78 : 2,039.14 = 579.28 : x
  2. Step 2: Convert to fraction form
    1,359.78/2,039.14 = 579.28/x
  3. Step 3: Cross multiply
    1,359.78x = 2,039.14 × 579.28
  4. Step 4: Simplify right side
    1,359.78x = 1,181,233.02
  5. Step 5: Solve for x
    x = 1,181,233.02/1,359.78
  6. Step 6: Final answer
    x = 868.69

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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.