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Finding the Fourth Proportional to 1,003.24, 1,499.09 and 830.44

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Solution

The fourth proportional to 1,003.24, 1,499.09 and 830.44 is: 1,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.24 : 1,499.09 = 830.44 : x
  2. Step 2: Convert to fraction form
    1,003.24/1,499.09 = 830.44/x
  3. Step 3: Cross multiply
    1,003.24x = 1,499.09 × 830.44
  4. Step 4: Simplify right side
    1,003.24x = 1,244,904.30
  5. Step 5: Solve for x
    x = 1,244,904.30/1,003.24
  6. Step 6: Final answer
    x = 1,240.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.