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Finding the Fourth Proportional to 1,343.43, 2,009.96 and 823.32

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Solution

The fourth proportional to 1,343.43, 2,009.96 and 823.32 is: 1,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.43 : 2,009.96 = 823.32 : x
  2. Step 2: Convert to fraction form
    1,343.43/2,009.96 = 823.32/x
  3. Step 3: Cross multiply
    1,343.43x = 2,009.96 × 823.32
  4. Step 4: Simplify right side
    1,343.43x = 1,654,840.27
  5. Step 5: Solve for x
    x = 1,654,840.27/1,343.43
  6. Step 6: Final answer
    x = 1,231.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.