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Finding the Fourth Proportional to 1,491.29, 2,057.96 and 828.24

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Solution

The fourth proportional to 1,491.29, 2,057.96 and 828.24 is: 1,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.29 : 2,057.96 = 828.24 : x
  2. Step 2: Convert to fraction form
    1,491.29/2,057.96 = 828.24/x
  3. Step 3: Cross multiply
    1,491.29x = 2,057.96 × 828.24
  4. Step 4: Simplify right side
    1,491.29x = 1,704,484.79
  5. Step 5: Solve for x
    x = 1,704,484.79/1,491.29
  6. Step 6: Final answer
    x = 1,142.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.