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Finding the Fourth Proportional to 1,049.84, 1,576.38 and 905.21

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Solution

The fourth proportional to 1,049.84, 1,576.38 and 905.21 is: 1,359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.84 : 1,576.38 = 905.21 : x
  2. Step 2: Convert to fraction form
    1,049.84/1,576.38 = 905.21/x
  3. Step 3: Cross multiply
    1,049.84x = 1,576.38 × 905.21
  4. Step 4: Simplify right side
    1,049.84x = 1,426,947.06
  5. Step 5: Solve for x
    x = 1,426,947.06/1,049.84
  6. Step 6: Final answer
    x = 1,359.21

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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.