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Finding the Fourth Proportional to 1,331.14, 1,996.26 and 465.34

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Solution

The fourth proportional to 1,331.14, 1,996.26 and 465.34 is: 697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.14 : 1,996.26 = 465.34 : x
  2. Step 2: Convert to fraction form
    1,331.14/1,996.26 = 465.34/x
  3. Step 3: Cross multiply
    1,331.14x = 1,996.26 × 465.34
  4. Step 4: Simplify right side
    1,331.14x = 928,939.63
  5. Step 5: Solve for x
    x = 928,939.63/1,331.14
  6. Step 6: Final answer
    x = 697.85

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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.