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Finding the Fourth Proportional to 1,331.10, 1,996.46 and 357.27

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Solution

The fourth proportional to 1,331.10, 1,996.46 and 357.27 is: 535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.10 : 1,996.46 = 357.27 : x
  2. Step 2: Convert to fraction form
    1,331.10/1,996.46 = 357.27/x
  3. Step 3: Cross multiply
    1,331.10x = 1,996.46 × 357.27
  4. Step 4: Simplify right side
    1,331.10x = 713,275.26
  5. Step 5: Solve for x
    x = 713,275.26/1,331.10
  6. Step 6: Final answer
    x = 535.85

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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.