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Finding the Fourth Proportional to 1,356.05, 2,033.99 and 432.27

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Solution

The fourth proportional to 1,356.05, 2,033.99 and 432.27 is: 648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.05 : 2,033.99 = 432.27 : x
  2. Step 2: Convert to fraction form
    1,356.05/2,033.99 = 432.27/x
  3. Step 3: Cross multiply
    1,356.05x = 2,033.99 × 432.27
  4. Step 4: Simplify right side
    1,356.05x = 879,236.13
  5. Step 5: Solve for x
    x = 879,236.13/1,356.05
  6. Step 6: Final answer
    x = 648.38

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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.