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Finding the Fourth Proportional to 1,433.61, 2,150.41 and 393.62

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Solution

The fourth proportional to 1,433.61, 2,150.41 and 393.62 is: 590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.61 : 2,150.41 = 393.62 : x
  2. Step 2: Convert to fraction form
    1,433.61/2,150.41 = 393.62/x
  3. Step 3: Cross multiply
    1,433.61x = 2,150.41 × 393.62
  4. Step 4: Simplify right side
    1,433.61x = 846,449.06
  5. Step 5: Solve for x
    x = 846,449.06/1,433.61
  6. Step 6: Final answer
    x = 590.43

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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.