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Finding the Fourth Proportional to 1,359.52, 2,039.32 and 385.60

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Solution

The fourth proportional to 1,359.52, 2,039.32 and 385.60 is: 578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.52 : 2,039.32 = 385.60 : x
  2. Step 2: Convert to fraction form
    1,359.52/2,039.32 = 385.60/x
  3. Step 3: Cross multiply
    1,359.52x = 2,039.32 × 385.60
  4. Step 4: Simplify right side
    1,359.52x = 786,361.79
  5. Step 5: Solve for x
    x = 786,361.79/1,359.52
  6. Step 6: Final answer
    x = 578.41

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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.