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Finding the Fourth Proportional to 1,491.28, 2,057.99 and 828.19

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Solution

The fourth proportional to 1,491.28, 2,057.99 and 828.19 is: 1,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.28 : 2,057.99 = 828.19 : x
  2. Step 2: Convert to fraction form
    1,491.28/2,057.99 = 828.19/x
  3. Step 3: Cross multiply
    1,491.28x = 2,057.99 × 828.19
  4. Step 4: Simplify right side
    1,491.28x = 1,704,409.83
  5. Step 5: Solve for x
    x = 1,704,409.83/1,491.28
  6. Step 6: Final answer
    x = 1,142.92

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Why These Related Problems?

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