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Finding the Fourth Proportional to 1,331.93, 1,998.20 and 407.43

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Solution

The fourth proportional to 1,331.93, 1,998.20 and 407.43 is: 611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.93 : 1,998.20 = 407.43 : x
  2. Step 2: Convert to fraction form
    1,331.93/1,998.20 = 407.43/x
  3. Step 3: Cross multiply
    1,331.93x = 1,998.20 × 407.43
  4. Step 4: Simplify right side
    1,331.93x = 814,126.63
  5. Step 5: Solve for x
    x = 814,126.63/1,331.93
  6. Step 6: Final answer
    x = 611.24

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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.