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Finding the Fourth Proportional to 1,433.38, 2,150.06 and 407.38

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Solution

The fourth proportional to 1,433.38, 2,150.06 and 407.38 is: 611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.38 : 2,150.06 = 407.38 : x
  2. Step 2: Convert to fraction form
    1,433.38/2,150.06 = 407.38/x
  3. Step 3: Cross multiply
    1,433.38x = 2,150.06 × 407.38
  4. Step 4: Simplify right side
    1,433.38x = 875,891.44
  5. Step 5: Solve for x
    x = 875,891.44/1,433.38
  6. Step 6: Final answer
    x = 611.07

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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.